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Futaki Akito  二木 昭人

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… Alternative Names

FUTAKI Akito  二木 昭人

ニ木 昭人  ニキ アキト

二木 昭人  フタキ アキト

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Researcher Number 90143247
Other IDs
External Links
Affiliation (Current) 2025: 東京大学, 大学院数理科学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2017 – 2023: 東京大学, 大学院数理科学研究科, 名誉教授
2016 – 2017: 東京大学, 数理科学研究科, 教授
2015 – 2016: 東京大学, 大学院数理科学研究科, 教授
2015: 東大, 大学院数理科学研究科, 教授
2012 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授 … More
2011: 東京工業大学, 理工学研究科, 教授
2007 – 2011: Tokyo Institute of Technology, 大学院・理工学研究科, 教授
2009: 東京工業大学, 理工学研究科, 教授
2002 – 2008: 東京工業大学, 理学部, 教授
2006: Tokyo Institute of Technology, Department of Mathematics, Professor, 理工学部, 教授
2005 – 2006: 東京工業大学, 大学院理工学研究科, 教授
1998 – 2005: Guraduate School of Science and Engineering TOKYO INSTITUTE OF TECHNOLOGY,Profes, 大学院・理工学研究科, 教授
2004: 東京工業大学, 理工学部・大学院, 教授
1996 – 2000: Tokyo Institute of Technology, Faculty of Science, Professor, 理学部, 教授
1998: Guraduate School of Science and Engineering Tokyo Institute of Technology ; Professor, 大学院・理工学研究科
1998: 東京工業大学, 大学院・理工学研究科, 助教授
1995: 東京工業大学, 理学部, 助教授
1993: 東京工業大学, 理学部, 助教授
1990: 東京工業大学, 理学部, 助教授
1988: 千葉大学, 理学部, 助教授
1986: 千葉大学, 教養部, 講師 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Basic analysis / Algebra / 解析学 / Algebra
Keywords
Principal Investigator
アインシュタイン計量 / ケーラー多様体 / リッチ・ソリトン / 乗数イデアル層 / ケーラー・アインシュタイン計量 / スカラー曲率 / 佐々木多様体 / Fano多様体 / 平均曲率流 / 二木不変量 … More / 安定性 / モーメント写像 / K安定性 / リッチ流 / Fano 多様体 / 自己相似解 / AdS-CFT対応 / トーリック多様体 / 幾何学的不変式論 / 定スカラー曲率計量 / スカラー曲率一定ケーラー 計量 / アインシュタイン・マックスウェル方程式 / ヤウ・ティアン・ドナルドソン予想 / スカラー曲率一定ケーラー計量 / 佐々木・アインシュタイン計量 / ケーラー・リッチソリトン / アインシュタイン・マックスウェル・ケーラー計量 / 体積最小原理 / moment map / geometric invariant theory / K-stability / scalar curvature / 不変コホモロジー / 同変コホモロジー / ケーラー計量 / トーラス埋め込み / Scalar curvature / Stability / Kaehler-Einstein metrics / サイバーグ・ウィッテン方程式 / Algebraic variety / Singularity / Minimal hypersurface / Futaki Character / Einstein metrics / 対称空間 / 代数多様体 / 特異点 / 極小超曲面 / 二木指標 / グロモフ・ハウスドル フ極限 / K 安定性 / グロモフ・ハウスドルフ極限 / 幾何学 / 乗数イデアル / K-安定性 / リッチソリトン / 微分幾何 / GIT安定性 / シンプレクティック多様体 / Spin(7)ホロノミー / Ricci flat Kahler多様体 … More
Except Principal Investigator
Gauge theory / ゲージ理論 / アインシュタイン計量 / 共形場理論 / 3次元多様体 / モジュライ空間 / Conformal field theory / Witten invariant / 3-dimensional manfold / 等径超曲面 / 安定性 / Bando-Calabi-Futaki不変量 / 複素多様体 / 量子不変量 / ラグランジュ部分多様体 / K-安定性 / 多重標準系 / 一般型代数多様体 / 多重種数 / タイヒミュラー空間 / Witten不変量 / Bando-Calabi-Futaki invariant / Futaki invariant / 定曲率ケーラー計量 / 離散化 / 特異点 / 可積分系 / 国際情報交換 / 量子コホモロジー / ケーラー計量 / 正則ベクトル場 / 固定点集合 / 回転角 / 同変行列式 / 楕円型作用素 / 群作用 / 位相不変量 / WZWモデル / 極小曲面 / ガウス写像 / 微分幾何 / 多国籍 / 国際研究交流 / 山辺不変量 / スカラー曲率 / 幾何解析 / Ricci Soliton / フロント / リーマン多様体 / ラプラス作用素 / Alexandrov空間 / 部分多様体 / 平均曲率フロー / 固有値理論 / self-shrinker / mean curvature flow / maximum principle / Singularity / Alenxandrov space / minimal immersion / Riemannian manifold / eigenvalues of Laplacian / ケーラー・アインシュタイン計量 / 偏極トーリック多様体 / トーリック多様体 / 共形ケーラーアインシュタイン・マックスウェル計量 / ハミルトン体積最小性 / チャウ安定性 / トーリック幾何 / 複素幾何学 / 変形空間 / 相対標準束 / 可視化 / スペシャル幾何 / tt*幾何 / エントロピー / 超曲面 / 可積分幾何 / スピン作用 / モーメント写像 / 等径関数 / トランスノーマル関数 / L2調和1形式 / リッチ流 / トランスレイティングソリトン / 平均曲率流 / 交叉理論 / フレアホモロジー / 交叉数 / ハミルトン変形 / 共形型 / L2調和形式 / 極小ラグランジュ部分多様体 / 偏極代数多様体 / 相対安定性 / polybalanced計量 / Donaldson-二木不変量 / テスト配位列 / ベクトル束のモジュライ空間 / plurisubharmonicity / Bergman kernel / analytic Zariski decomposition / singular hermitian metrics / closed positive current / Kaehler-Einstein metrics / varieties of general type / pluricanonical systems / 双有理幾何学 / 代数多様体 / モジュライ / 剛性定理 / 乗数イデアル層 / ケーラーアインシュタイン計量 / ケーラー多様体 / 変形 / ベクトル束 / ベルグマン核 / 多重標準形 / 特異エルミート計量 / 不変測度 / 標準束 / 多重標準写像 / rotation angle / fixed point set / equivariant determinant / group action / elliptic operator / Kahler metric of constant curvature / complex manifolds / 定曲率ケーラ計量 / holonomy / 楕円型作用型 / 位相的場の理論 / ケージ理論 / ウィッテン不変量 / potential theory / Martin boundary / uniqueness / Green function / fundamental solution / positive solution / elliptic equation / parabolic equation / Martin境界 / 解の一意性 / 歪積 / 非一意性 / ポテンシャル論 / マルチン境界 / 一意性 / グリーン関数 / 基本解 / 正値解 / 楕円型方程式 / 放物型方程式 / multiplier ideal sheaves / vareiteis of general type / plurigera / moduli space / 概代数性 / Flip / 劣随伴定理 / 劣随伴公式 / genus / adjoint bundle / polarized varieties / 偏極多様性 / 偏極多様体 / 種数 / 随伴直線束 / 偏曲多様体 / 結び目理論 / 双曲多様体 / integral invariants / Constant scalar curvature Kahler metric / the lifted Futaki invariants / Dirac operator / Einstein metric / Complex manifold / 第1チャーン形式 / 閉複素多様体 / リー群準同型写像 / 障害 / アインシュタイン=ケーラー計量 / 自己同型群 / 不動点公式 / 複素自己同型写像 / 概複素自己同型写像 / 概複素多様体 / Band-Calabi-Futaki不変量 / 積分不変量 / 拡張二木不変量 / ディラック作用素 / 二木不変量 / Seiberg-witten equation / Value distributions / Integrable systems / isparametric hypersurfaces / minimal surfaces / comstant mean curvature surfaces / harmonic maps / submanifolds / moduli / Gaurs map / CMC-surfaces / harmonie maps / サイバーグ・ウィッテン方程式 / サイバーグ・ヴィッテン方程式 / 値分布 / 等経超曲面 / 平均曲率一定曲面 / 調和写像 / 錐体と円柱 / ラプラス・ベルトラミー演算子 / ヒルベルト空間 / モジュラー空間 / 調和関数 / 複素構造 / リーマン構造 / 葉層構造 / 極小集合 / 周期解 / 微分方程式 / 量子コホモロジー論 / Yang-Mills接続 / 調和写像論 / 特異点のモデュライ / G_2軌道 / 幾何学 / クレパント解消予想 / 双曲空間 / ミラー対称性 / tt*戸田格子 / Ricci soliton / 離散変形KdV方程式 / 可積分な運動 / 運動量写像 / 軌道の幾何学 / カオス性 / パンルヴェ方程式 / 離散幾何学 / 超曲面の幾何学 / Geometric Arithmetic / Riemann Hypothesis / Analytic Truncation / Generalized Siegel Distance / Rankin-Selberg & Zagier Method / Stability / High Rank Zeta / Eisenstein series / 非可換レ-関数 / Galois 表現 / Eisenstein 級数 / 非可換類体論 / リーマン予想 / Galois表現 / Eisenstein級数 / 非可換L-関数 / symplectic geometry / Dirac structure / deformation quantization / Parabolic geometry / Floer homology / Lie algebroid / 指数定理 / 非可換微分幾何学 / イギリス:フランス:ベルギー:中国:コロンビア / 岩沢理論 / オーストラリア:アメリカ:イタリア / スペクトル理論 / 擬微分作用素 / regularization / 中国:スイス:アメリカ / 国際研究者交流 / 非可換ゲージ理論 / ポアソン幾何学 / シンプレクティック幾何学 / 変形量子化問題 / 量子化問題 / 超弦理論 / ジャーブ / 変形量子化 / 非可換幾何学 / 固定点情報 / BCF-character / 定スカラー曲率 / reductive / Futaki不変量 / 作用 / 有限群 / BCF character / ケーラー類 / 定スカラー曲率ケーラー計量 / リーマン面 / 行列式 / 不動点集合 / トポロジー / 非可換テータ函数 / コンフォーマル・ブロック / 双曲幾何学 / Hitchin system / 最短閉測地線 / リーマン幾何的熱浴 / ネゲァンリンナ理論 / 擬代数的極小曲面 / Cohn-Vossen不等式 / ネヴァンリンナ理論 / 基本群 / 崩壊 / 横断的アインシュタイン計量 / 古代解 / 四元数Kaehler空間 / Ricci流 / 除外値数 / 周期条件 / Nevanlinna理論 / 代数的極小曲面 / Milnor-Wood 不等式 / Godbillon-Vey 不変量 / Lagrange 部分多様体 / Floer ホモロジー / Reidemeister torsion / 調和形式 / 曲率作用表 / オイラー・ポアンカレ標数 / Futaki inuarianV / Feynmann intcgral / singularity / algobraic surface / moduli cpale / Torolli group / Casson inuarianV / Mapping class group / 熱方程式の基本解 / ホモロジ-球面 / トレリ群 / ファインマンの経路積分 / 接触構造 / CR構造 / 正曲率 / リ-マン多様体 Less
  • Research Projects

    (40 results)
  • Research Products

    (276 results)
  • Co-Researchers

    (133 People)
  •  Volume minimization principle and obstructions to geometric problemsPrincipal Investigator

    • Principal Investigator
      二木 昭人
    • Project Period (FY)
      2018 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      The University of Tokyo
  •  Gromov-Hausdorff limits and complex analytic geometryPrincipal Investigator

    • Principal Investigator
      Futaki Akito
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Self-similar solutions of geometric flows and GIT stabilityPrincipal Investigator

    • Principal Investigator
      Futaki Akito
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  The study of ideal limits of sequences of test configurations

    • Principal Investigator
      MABUCHI TOSHIKI
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Canonical Kahler metrics, algebro-geometric stability and Sasakian geometry

    • Principal Investigator
      ONO Hajime
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
      Tokyo University of Science
  •  The latest frontier study on geometry and theory of eigenvalues

    • Principal Investigator
      Cheng Qing-Ming
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Fukuoka University
  •  Geometric and Global Analysis of Scalar Curvature and Einstein Metrics

    • Principal Investigator
      AKUTAGAWA KAZUO
    • Project Period (FY)
      2012 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
      Tohoku University
  •  Destabilizing objects and multiplier ideal sheavesPrincipal Investigator

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Tokyo Institute of Technology
  •  Development of Integrable Geometry

    • Principal Investigator
      Miyaoka Reiko
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Complex geometry of relative pluricanonical bundles and deformation spaces

    • Principal Investigator
      Takayama Shigeharu
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  AdS/CFT correspondence and GIT stablityPrincipal Investigator

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Tokyo Institute of Technology
  •  接触構造と横断するケーラー幾何とAdS/CFT対応Principal Investigator

    • Principal Investigator
      二木 昭人
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Fusion of geometry and the theory of integrable systems

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  GIT stability and canonical Kahler metricsPrincipal Investigator

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Stability, Global Galois Representations and Non-Abelian Zeta Functions

    • Principal Investigator
      WENG Lin
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Statistical Laws in Geometry

    • Principal Investigator
      KOBAYASHI Ryoichi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  WZW model and 3-manifolds

    • Principal Investigator
      YOSHIDA Tomoyoshi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  The finite group action and the equivariant determinant of elliptic operators

    • Principal Investigator
      TSUBOI Kenji
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Marine Science and Technology
  •  脱安定化部分概型と標準ケーラー計量Principal Investigator

    • Principal Investigator
      二木 昭人
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  幾何学的不変式論と極小ラグランジュ部分多様体,安定ケーラー多様体Principal Investigator

    • Principal Investigator
      二木 昭人
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Study of moduli spaces of projective varieties of general type

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  Conformal Field Theory and Witten Invariant

    • Principal Investigator
      YOSHIDA Tomoyoshi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Geometric Non-linear problems and stability in invariant theoryPrincipal Investigator

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Kahler metrics of constant curvature on complex manifolds and topological invariants

    • Principal Investigator
      TSUBOI Kenji
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Marine Science & Technology (TUMST)
      東京水産大学
  •  A synthetic study of positive solutions to elliptic and parabolic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Gauge Theory and 3-Dimensional Manifolds

    • Principal Investigator
      YOSHIDA Tomoyoshi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  The structure of polarized varieties

    • Principal Investigator
      FUJITA Takao
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Quasiprojectivity of moduli spaces of algebraic varieties

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Gauge Theory and 3-Dimensional Manifolds

    • Principal Investigator
      YOSHIDA Tomoyoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Uniformization for smooth manifoldsPrincipal Investigator

    • Principal Investigator
      FUKAKI Akito
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Geometry related to harmonic maps

    • Principal Investigator
      MIYOOKA Reiko
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Einstein metric on complex manifolds and the lifted Futaki invariant

    • Principal Investigator
      TSUBOI Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of fisheries
  •  Uniformization Theorems on ManifoldsPrincipal Investigator

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  多様体上の諸構造と不変量

    • Principal Investigator
      増田 一男
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  多様体論における一意化定理の一般化Principal Investigator

    • Principal Investigator
      二木 昭人
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  リ-マン多様体の曲率と位相構造の研究

    • Principal Investigator
      TANNO Shukiti
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  低次元多様体上の諸構造の研究

    • Principal Investigator
      森田 茂之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  多様体上の代数的構造と解析的構造

    • Principal Investigator
      高木 亮一
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  安定理論とその応用

    • Principal Investigator
      日野 義之
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] Geometry and topology of manifolds. Proceedings of the 10th China-Japan Geometry Conference held in Shanghai, September 20142016

    • Author(s)
      Edited by Akito Futaki, Reiko Miyaoka, Zizhou Tang and Weiping Zhang
    • Total Pages
      348
    • Publisher
      Springer-Veralg
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Book] プリンストン 数学大全2015

    • Author(s)
      砂田利一 ・石井仁司 ・平田典子 ・二木昭人 ・森真 監訳
    • Total Pages
      1192
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Book] ケーラー幾何におけるカラビの問題と幾何学的不変式論,微分幾何学の最先端2005

    • Author(s)
      二木昭人
    • Total Pages
      14
    • Publisher
      培風館
    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Hodge Laplacian and geometry of Kuranishi family of Fano manifolds2024

    • Author(s)
      Akito Futaki, Xiaofeng Sun and Yingying Zhang
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: to appear

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Deformations of Fano manifolds with weighted solitons2024

    • Author(s)
      Akito Futaki
    • Journal Title

      Pure and Applied Mathematics Quarterly.

      Volume: to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Moment polytopes on Sasaki manifolds and volume minimization.2023

    • Author(s)
      Akito Futaki
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 19 Issue: 2 Pages: 487-513

    • DOI

      10.4310/pamq.2023.v19.n2.a3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Irregular Eguchi-Hanson type metrics and their soliton analogues2021

    • Author(s)
      Akito Futaki
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 17 Issue: 1 Pages: 27-53

    • DOI

      10.4310/pamq.2021.v17.n1.a2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Quantum moment map and obstructions to the existence of closed Fedosov star products2021

    • Author(s)
      Akito Futaki and Laurent La Fuente-Gravy
    • Journal Title

      Journal of Geometry and Physics

      Volume: 163 Pages: 104118-104118

    • DOI

      10.1016/j.geomphys.2021.104118

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Coupled Sasaki-Ricci solitons2021

    • Author(s)
      Akito Futaki and Yingying Zhang
    • Journal Title

      Science China Mathematics

      Volume: 64 Issue: 7 Pages: 1447-1462

    • DOI

      10.1007/s11425-018-9499-y

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Residue formula for an obstruction to Coupled Kahler-Einstein metrics2021

    • Author(s)
      Akito Futaki and Yingying Zhang
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 2 Pages: 389-401

    • DOI

      10.2969/jmsj/83558355

    • NAID

      130008029580

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Deformation quantization and Kaehler geometry with moment map2020

    • Author(s)
      Akito Futaki and Laurent La Fuente-Gravy
    • Journal Title

      Proceedings of ICCM 2018

      Volume: none Pages: 31-66

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Geometric nonlinear problems and GIT stability through moment maps2020

    • Author(s)
      Akito Futaki and Hajime Ono
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 85 Pages: 105-114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Cahen-Gutt moment map, closed Fedosov star product and structure of the automorphism group2020

    • Author(s)
      Akito Futaki , Hajime Ono
    • Journal Title

      Journal of Symplectic Geometry

      Volume: 18 Issue: 1 Pages: 123-145

    • DOI

      10.4310/jsg.2020.v18.n1.a3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05218, KAKENHI-PROJECT-18K03270
  • [Journal Article] On the existence problem of Einstein-Maxwell Kaehler metrics,2020

    • Author(s)
      Akito Futaki and Hajime Ono
    • Journal Title

      Progress in Mathematics

      Volume: 333 Pages: 93-111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Journal Article] Conformally Einstein-Maxwell Kahler metrics and structure of the automorphism group2019

    • Author(s)
      Akito Futaki, Hajime Ono
    • Journal Title

      Mathematische Zeitschrift

      Volume: 292 Issue: 1-2 Pages: 571-589

    • DOI

      10.1007/s00209-018-2112-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05218, KAKENHI-PROJECT-18K03270
  • [Journal Article] Volume minimization and conformally Kähler, Einstein–Maxwell geometry2018

    • Author(s)
      Akito Futaki, Hajime Ono
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 70 Issue: 4 Pages: 1493-1521

    • DOI

      10.2969/jmsj/77837783

    • NAID

      130007501727

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05218, KAKENHI-PROJECT-18K03270, KAKENHI-PROJECT-25247003
  • [Journal Article] Fano-Ricci limit spaces and spectral convergence2017

    • Author(s)
      Akito Futaki, Shouhei Honda and Shunsuke Saito
    • Journal Title

      Asian Journal of Mathematics

      Volume: 21 Issue: 6 Pages: 1015-1062

    • DOI

      10.4310/ajm.2017.v21.n6.a2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17585, KAKENHI-PROJECT-25247003
  • [Journal Article] Fano-Ricci limit spaces and spectral convergence2017

    • Author(s)
      Akito Futaki, Shouhei Honda and Shusuke Saito
    • Journal Title

      Asian J. Math.

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Journal Article] The weighted Laplacians on real and complex metric measure spaces2015

    • Author(s)
      Akito Futaki
    • Journal Title

      Progress in Mathematics

      Volume: 308 Pages: 343-351

    • DOI

      10.1007/978-3-319-11523-8_12

    • ISBN
      9783319115221, 9783319115238
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Journal Article] Einstein metrics and GIT stability. II.2015

    • Author(s)
      Akito Futaki
    • Journal Title

      Sugaku Expositions

      Volume: 28 Pages: 231-249

    • NAID

      10030741033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Journal Article] Einstein metrics and GIT stability. II2015

    • Author(s)
      Akito Futaki and Hajime Ono
    • Journal Title

      Sugaku Expositions

      Volume: 28 Pages: 231-249

    • NAID

      10030741033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Journal Article] The weighted Laplacians on real and complex metric measure spaces, in Geometry and Analysis on Manifolds2015

    • Author(s)
      Akito Futaki
    • Journal Title

      Progress in Mathematics

      Volume: 308 Pages: 343-351

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Journal Article] Preface2015

    • Author(s)
      T. Mabuchi, A. Futaki, Y. Miyaoka, J. Noguchi
    • Journal Title

      Internat. J. Math.

      Volume: 26 Issue: 04 Pages: 1-2

    • DOI

      10.1142/s0129167x15020012

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04917, KAKENHI-PROJECT-25247003
  • [Journal Article] Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones2014

    • Author(s)
      Akito Futaki,Kota Hattori and Hikaru Yamamoto
    • Journal Title

      Osaka J. Math.

      Volume: 51

    • NAID

      120005986378

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Journal Article] Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones2014

    • Author(s)
      Akito Futaki, Kota Hattori and Hikaru Yamamoto
    • Journal Title

      Osaka J. Math.

      Volume: 51 Pages: 1053-1079

    • NAID

      120005986378

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Journal Article] ベクトル解析の力, 巻頭言2014

    • Author(s)
      二木昭人
    • Journal Title

      数理科学

      Volume: No.614

    • Data Source
      KAKENHI-PROJECT-26610013
  • [Journal Article] ベクトル解析の力,巻頭言2014

    • Author(s)
      二木昭人
    • Journal Title

      数理科学

      Volume: 614 Pages: 4-5

    • Data Source
      KAKENHI-PROJECT-25247003
  • [Journal Article] Lower diameter bounds for compact shrinking Ricci solitons2013

    • Author(s)
      Akito Futaki and Yuji Sano
    • Journal Title

      Asian J. Math.

      Volume: 17 Issue: 1 Pages: 17-31

    • DOI

      10.4310/ajm.2013.v17.n1.a2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Journal Article] Lower diameter bounds for compact shrinking Ricci solitons2013

    • Author(s)
      A. Futaki and Y. Sano
    • Journal Title

      Asian J. Math

      Volume: 17, No.1 Pages: 17-31

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons2013

    • Author(s)
      A. Futaki, H.Z. Li and X.D. Li
    • Journal Title

      Ann. Glob. Anal. Geom

      Volume: 44 Issue: 2 Pages: 105-114

    • DOI

      10.1007/s10455-012-9358-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023, KAKENHI-PROJECT-25247003
  • [Journal Article] An integral invariant from the view point of locally conformally Kahler geometry2013

    • Author(s)
      Kota Hattori
    • Journal Title

      Manuscripta Mathematica

      Volume: 140 Issue: 1-2 Pages: 1-12

    • DOI

      10.1007/s00229-011-0527-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-11J01432, KAKENHI-PROJECT-21244003, KAKENHI-PROJECT-23654023, KAKENHI-PROJECT-25247003
  • [Journal Article] Lower diameter bounds for compact shrinking Ricci solitons2013

    • Author(s)
      A.Futaki and Y.Sano
    • Journal Title

      Asian J. Math.

      Volume: 17 Pages: 17-31

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] Einstein 計量と GIT 安定性II2012

    • Author(s)
      二木昭人
    • Journal Title

      日本数学会誌「数学」

      Volume: 64巻 Pages: 113-130

    • NAID

      10030741033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Einstein 計量と GIT 安定性 II2012

    • Author(s)
      二木昭人
    • Journal Title

      日本数学会誌「数学」

      Volume: 64 Pages: 113-130

    • NAID

      10030741033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] Asymptotic Chow polystability in geometry2012

    • Author(s)
      A.Futaki
    • Journal Title

      Fifth International Congress of Chinese Mathematicians (AMS/IP Stud. Adv. Math.) (51, pt.1, 2, Amer. Math. Soc., Providence, RI,2012)

      Volume: Part 1, 2 Pages: 139-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Asymptotic Chow polystability in Kahler geometry2012

    • Author(s)
      A. Futaki
    • Journal Title

      Fifth International Congress of Chinese Mathematicians, Part 1

      Volume: 51 Pages: 139-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Einstein 計量と GIT 安定性II2012

    • Author(s)
      二木昭人
    • Journal Title

      日本数学会誌「数学」

      Volume: 64巻 Pages: 113-130

    • NAID

      10030741033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] Hilbert series and obstructions to asymptotic semistability2011

    • Author(s)
      Akito Futaki
    • Journal Title

      Advances in Math.

      Volume: 226 Pages: 254-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Multiplier ideal sheaves and geometric problems, ``Variational Problems in Differential Geometry (Eds. R. Bielawski, K. Houston and M. Speight)2011

    • Author(s)
      A. Futaki and Y. Sano
    • Journal Title

      LMS Lecture Notes series (Cambridge University Press)

      Volume: 394 Pages: 68-93

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Hilber series and obsturctions to asymptotic semistability2011

    • Author(s)
      A.Futaki, H.Ono, Y.Sano
    • Journal Title

      Advances in Mathmatics

      Volume: 226 Pages: 254-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Einstein metrics and GIT stability2011

    • Author(s)
      A.Futaki and H.Ono
    • Journal Title

      Sugaku Expositions

      Volume: 24 Pages: 93-122

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Multiplier ideal sheaves and geometric problems, Variational Problems in Differential Geometry (Eds. R. Bielawski, K. Houston and M. Speight)2011

    • Author(s)
      A. Futaki and Y. Sano
    • Journal Title

      LMS Lecture Notes series

      Volume: 394 Pages: 68-93

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] MOMENTUM CONSTRUCTION ON RICCI-FLAT KÄHLER CONES2011

    • Author(s)
      A.Futaki
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 63 Issue: 1 Pages: 21-40

    • DOI

      10.2748/tmj/1303219934

    • NAID

      110008425967

    • ISSN
      0040-8735, 2186-585X
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Multiplier ideal sheaves and geometric problems2011

    • Author(s)
      Akito Futaki and Yuji Sano
    • Journal Title

      London Mathematical Society Lecture Notes series

      Volume: 394

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] Multiplier ideal sheaves and geometric problems2011

    • Author(s)
      Akito Futaki
    • Journal Title

      Variational Problems in Differential Geometry (Leeds 2009)

      Volume: (未定,To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Einstein metrics and GIT stability2011

    • Author(s)
      Akito Futaki
    • Journal Title

      Sugaku Expositions

      Volume: (未定,To appear)

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Constructing Kaehler-Ricci solitons from Sasaki-Einstein manifolds2011

    • Author(s)
      Akito Futaki
    • Journal Title

      Asian Journal of Mathematics

      Volume: 15 Pages: 33-52

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Constructing Kaehler-Ricci solitons from Sasaki-Einstein manifolds2011

    • Author(s)
      A.Futaki
    • Journal Title

      Asian Journal of Mathematics 15

      Pages: 33-52

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Constructing Kahler-Ricci solitons from Sasaki-Einstein manifolds2011

    • Author(s)
      AkitoFutaki, Mu-Tao Wang
    • Journal Title

      Asian Journal of Mathematics

      Volume: 15 Pages: 33-52

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Hilber series and obstructions to asymptotic semistability2011

    • Author(s)
      A.Futaki, H.Ono, Y.Sano
    • Journal Title

      Advances in Math.

      Volume: 226 Pages: 254-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Journal Article] Einstein metrics and GIT stability2011

    • Author(s)
      A. Futaki and H. Ono
    • Journal Title

      Sugaku Expositions

      Volume: 24 Pages: 93-122

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Journal Article] Constructing Kaehler-Ricci solitons from Sasaki-Einstein manifolds2011

    • Author(s)
      A.Futaki and M.T.Wang
    • Journal Title

      Asian Journal of Mathematics

      Volume: 15 Issue: 1 Pages: 33-52

    • DOI

      10.4310/ajm.2011.v15.n1.a3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Multiplier ideal sheaves and integral invariants on toric Fano manifolds2011

    • Author(s)
      A.Futaki and Y. Sano
    • Journal Title

      Mathematische Annalen

      Volume: 350 Issue: 2 Pages: 245-267

    • DOI

      10.1007/s00208-010-0556-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003, KAKENHI-PROJECT-23654023
  • [Journal Article] Hilbert series and obstructions to asymptotic semistability2011

    • Author(s)
      A.Futaki, H.Ono and Y.Sano
    • Journal Title

      Advances in Math

      Volume: 226 Issue: 1 Pages: 254-284

    • DOI

      10.1016/j.aim.2010.06.018

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Multiplier ideal sheaves and integral invariants on toric Fano manifolds2010

    • Author(s)
      Akito Futaki
    • Journal Title

      online in Mathematische Annalen

      Volume: ((on line)(on line))

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Hilbert series and obstructions to asymptotic semistability2010

    • Author(s)
      A.Futaki
    • Journal Title

      Advances in Math. 226

      Pages: 254-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Toric Sasaki-Einstein Geometry, in Fourth International Congress of Chinese Mathematicians2010

    • Author(s)
      A.Futaki
    • Journal Title

      AMS/IP Studies in Advanced Mathematics (mer. Math. Soc., Providence, RI)

      Volume: vol.48 Pages: 107-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Toric Sasaki-Einstein Geometry2010

    • Author(s)
      A.Futaki
    • Journal Title

      AMS/IP Studies in Advanced Mathematics

      Volume: 48 Pages: 107-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Momentum construction on Ricci-flat K¥"ahler cones2010

    • Author(s)
      Akito Futaki
    • Journal Title

      Tohoku Math.J.

      Volume: 63 Pages: 21-40

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Toric Sasaki-Einstein Geometry2010

    • Author(s)
      A.Futaki
    • Journal Title

      AMS/IP Studies in Advanced Mathematics

      Volume: 48 Pages: 107-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Journal Article] Toric Sasaki-Einstein Geometry2010

    • Author(s)
      Akito Futaki
    • Journal Title

      Fourth International Congress of Chinese Mathematicians

      Volume: 48 Pages: 107-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Momentum construction on Ricci-flat Kaehler cones2010

    • Author(s)
      A.Futaki
    • Journal Title

      Tohoku Math.J. 63

      Pages: 21-40

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Transverse Kaehler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds2009

    • Author(s)
      A.Futaki, H.Ono, G.Wang
    • Journal Title

      Journal of Differential Geometry 83

      Pages: 585-636

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Transverse Kahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds2009

    • Author(s)
      Akito Futaki, Hajime Ono, Guofang Wang
    • Journal Title

      Journal of Differential Geometry 83

      Pages: 585-636

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Journal Article] Transverse Kaehler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds2009

    • Author(s)
      A.Futaki, H.Ono and G.Wang
    • Journal Title

      Journal of Differential Geometry

      Volume: 83 Pages: 585-636

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Harmonic total Chern forms and stability2009

    • Author(s)
      A.Futaki
    • Journal Title

      Kodai Math. J Vol.29, No.3

      Pages: 346-369

    • NAID

      130004948961

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Transverse Kahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds2009

    • Author(s)
      Akito Futaki, Hajime Ono, Guofang Wang
    • Journal Title

      Journal of Differential Geometry 83

      Pages: 585-636

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Transverse Kahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds2009

    • Author(s)
      Akito Futaki, Hajime Ono, Guofang Wang
    • Journal Title

      Journal of Differential Geometry 83

      Pages: 585-636

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Journal Article] Holomorphic vector fields and perturbed extremal K"ahler metrics2008

    • Author(s)
      Akito Futaki
    • Journal Title

      Journal of Symplectic Geometry 6

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      Koji Cho, Akito Futaki, Hajime Ono
    • Journal Title

      Comm. Math. Phys. 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      K. Cho, A. Futaki, H. Ono
    • Journal Title

      Comm. Math. Phys. 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      K.Cho-A.Futaki-H.Ono
    • Journal Title

      Comm.Math.Phys 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds, Comm2008

    • Author(s)
      A.Futaki, K.Cho, H.Ono
    • Journal Title

      Math. Phys 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Toric Sasaki-Einstein geometry2008

    • Author(s)
      A. Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians, Hangzhou 2007, (eds. L. Ji, et. al.) 1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Holomorphic vector fields and perturbed extremal Kahler metrics2008

    • Author(s)
      A.Futaki
    • Journal Title

      J.Symplectic Geom 6-2

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Einstein metrics and GIT stability2008

    • Author(s)
      A.Futaki , H. Ono
    • Journal Title

      to appear in Sugaku Expositions 60

      Pages: 175-202

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Holomorphic vector fields and perturbed extremal K"ahler metrics, .2008

    • Author(s)
      A. Futaki
    • Journal Title

      J. Symplectic Geom. Vol. 6, No. 2

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      A. Futaki, K. Cho and H. Ono
    • Journal Title

      Comm. Math. Phys. Vol.277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Toric Sasaki-Einstein geometry2008

    • Author(s)
      Akito Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians, Hangzhou 2007 Vol.1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Einstein計量とGIT安定性2008

    • Author(s)
      二木昭人, 小野肇
    • Journal Title

      数学 60

      Pages: 175-202

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Toric Sasaki-Einstein geometry2008

    • Author(s)
      A. Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians, Hangzhou 2007, (eds. L. Ji et al) 1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Holomorphic vector fields and perturbed extremal K"ahler metrics2008

    • Author(s)
      Akito Futaki
    • Journal Title

      Journal of Symplectic Geometry 6

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Journal Article] Holomorphic vector fields and perturbed extremal K ahler metrics2008

    • Author(s)
      Akito Futaki
    • Journal Title

      J. Symplectic Geom. Vol.6, No.2

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Toric Sasaki-Einstein geometry2008

    • Author(s)
      A. Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians 1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Einstein metrics and GIT stability2008

    • Author(s)
      Akito Futaki, Hajime Ono
    • Journal Title

      to appear in Sugaku Expositions. Translated from Sugaku 60

      Pages: 175-202

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Holomorphic vector fields and perturbed extremal K"ahler metrics2008

    • Author(s)
      A.Futaki
    • Journal Title

      J. Symplectic Geom Vol.6, No.2

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds,2008

    • Author(s)
      A. Futaki (with K. Cho and H. Ono)
    • Journal Title

      Communications of Mathematical Physics 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      K. Cho, A. Futaki and H. Ono
    • Journal Title

      Comm. Math. Phys. 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      A.Futaki
    • Journal Title

      Comm.Math.Phys. 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Einstein metrics and GIT stability, to appear in Sugaku Expositions(in Japanese)2008

    • Author(s)
      Akito Futaki and Hajime Ono
    • Journal Title

      Translated from Sugaku 60

      Pages: 175-202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Holomorphic vector fields and perturbed extremal K"ahler metrics2008

    • Author(s)
      Akito Futaki
    • Journal Title

      J. Symplectic Geom. Vol.6,No.2

      Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Toric Sasaki-Einstein geometry2008

    • Author(s)
      A. Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians, Higher Education Press, Beijing Vol.1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Toric Sasaki-Einstein geometry2008

    • Author(s)
      A.Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians 1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      A. Futaki
    • Journal Title

      Comm. Math. Phys. 277

      Pages: 439-458

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Einstein計量とGIT安定性2008

    • Author(s)
      二木昭人, 小野肇
    • Journal Title

      数学 60

      Pages: 175-202

    • NAID

      130004558857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Journal Article] Uniqueness and examples of toric Sasaki-Einstein manifolds2008

    • Author(s)
      Koji Cho, Akito Futaki and Hajime Ono
    • Journal Title

      Comm. Math. Phys. 277

      Pages: 439-458

    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Holomorphic vector fields and perturbed extremal K゛ahler metrics2007

    • Author(s)
      A. Futaki
    • Journal Title

      J. Symplectic. Geom. (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Toric Sasaki-Einstein geometry2007

    • Author(s)
      A. Futaki
    • Journal Title

      Proceedings of 4-th International Congress of Chinese Mathematicians Vol.1

      Pages: 102-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      Akito Futaki
    • Journal Title

      Kodai Math. J. Vol.29,No.3

      Pages: 346-369

    • NAID

      130004948961

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      Akito Futaki
    • Journal Title

      Kodai Math. J. 29

      Pages: 346-369

    • NAID

      130004948961

    • Data Source
      KAKENHI-PROJECT-15340018
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      Akito Futaki
    • Journal Title

      Kodai Math. J. Vol.29, No.3

      Pages: 346-369

    • NAID

      130004948961

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      A.Futaki
    • Journal Title

      Kodai Math. Journal 29-3

      Pages: 346-369

    • NAID

      130004948961

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340018
  • [Journal Article] Harmonic total Chern forms and stabiblity2006

    • Author(s)
      A.Futaki
    • Journal Title

      Kodai Mathematial Journal 29-3

      Pages: 346-369

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340018
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      Akito Futaki
    • Journal Title

      Kodai Math. J. 29

      Pages: 346-369

    • NAID

      130004948961

    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      A.Futaki
    • Journal Title

      Kodai Math. J Vol.29, No.3

      Pages: 346-369

    • NAID

      130004948961

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      A.Futaki
    • Journal Title

      Kodai Math. Journal 29・3

      Pages: 346-369

    • NAID

      130004948961

    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      Akito Futaki
    • Journal Title

      Kodai Math. J. 29

      Pages: 346-369

    • NAID

      130004948961

    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Harmonic total Chern forms and stability2006

    • Author(s)
      A.Futaki
    • Journal Title

      Kodai Math. J. 29-3

      Pages: 346-369

    • NAID

      130004948961

    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Canonical metrics in Kahler geometry and stability in GIT2005

    • Author(s)
      A.Futaki
    • Journal Title

      UK-Japan Winter school 2004, Geometry and analysis towards quantum field theory, Seminar on Mathematical Sciences 30

      Pages: 68-77

    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Canonical metrics in Kahler geometry and stability in GIT,2005

    • Author(s)
      A.Futaki
    • Journal Title

      Seminar on Mathematical Sciences, 30(2005)

      Pages: 68-77

    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Stability, integral invariants and canonical Kaehler metrics2005

    • Author(s)
      A.Futaki
    • Journal Title

      DGA Proc.Prague (印刷中)

    • Data Source
      KAKENHI-PROJECT-15654009
  • [Journal Article] Canonical metrics in Kaehler geometry and stability in GIT2005

    • Author(s)
      Futaki Akito
    • Journal Title

      UK-Japan Winter school 2004, Geometry and analysis towards quantum field theory, Seminar on Mathematical Sciences, Keio Univ. 30

      Pages: 68-77

    • Data Source
      KAKENHI-PROJECT-15340018
  • [Journal Article] ケーラー幾何におけるカラビの問題と幾何学的不変式論2005

    • Author(s)
      二木昭人
    • Journal Title

      微分幾何学の最先端,培風館

      Pages: 15-28

    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Stability, integral invariants and canonical K"ahler metrics2005

    • Author(s)
      Akito Futaki
    • Journal Title

      Proc.9-th Internat.Conf.on Differential Geomtry and its Applications、Prague

      Pages: 45-58

    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Stability, integral invariants and canonical Kahler metrics2005

    • Author(s)
      A.Futaki
    • Journal Title

      Proc.9-th Internat.Conf.on Difflerential Geomtry and its Applications, MATFYZPRESS, Prague

      Pages: 45-58

    • Data Source
      KAKENHI-PROJECT-17540066
  • [Journal Article] Canonical metrics in K"ahler geometry and stability in GIT2005

    • Author(s)
      A.Futaki
    • Journal Title

      Seminar on Mathematical Sciences 30

      Pages: 68-77

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] Stability, integral invariants and canonical Kaehler metrics2005

    • Author(s)
      Futaki Akito
    • Journal Title

      Differential Geometry and its Applications, Proc.Conf.Prague 2004

      Pages: 45-58

    • Data Source
      KAKENHI-PROJECT-15340018
  • [Journal Article] Stability, integral invariants and canonical Kahler metrics2005

    • Author(s)
      A.Futaki
    • Journal Title

      DGA Proc.Prague (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540064
  • [Journal Article] Canonical motrics in K" ahler geometry and stability in GIT2005

    • Author(s)
      A.Futaki
    • Journal Title

      Seminar on Mathematical Sciences 30

      Pages: 68-77

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] Stability, integral invariants and canonical Kahler metrics,2005

    • Author(s)
      A.Futaki
    • Journal Title

      Proc.9-th Internat.Conf. on Differential Geomtry and its Applications

      Pages: 45-58

    • Data Source
      KAKENHI-PROJECT-17654012
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat.J.Math. Vol.15, No.9

      Pages: 967-979

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540064
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat.J.Math. Vol.15-9

      Pages: 967-979

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat.J.Math. Vol15,No9

      Pages: 967-979

    • Data Source
      KAKENHI-PROJECT-15540064
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      International Journal of Mathematics Vol.15, No.9

      Pages: 967-979

    • Data Source
      KAKENHI-PROJECT-15654009
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat.J.Math. 15

      Pages: 967-979

    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] ヤウの仕事t2004

    • Author(s)
      二木 昭人
    • Journal Title

      数学セミナー 9号

      Pages: 28-32

    • Data Source
      KAKENHI-PROJECT-15654009
  • [Journal Article] Asymptotic Chow stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      International Journal of Mathematics 15

      Pages: 967-979

    • Data Source
      KAKENHI-PROJECT-15340018
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat.J.Math. Vol.15

      Pages: 967-979

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540064
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat.J.Math. 15

      Pages: 967-979

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      Internat. J. Math. Vol.15-9

      Pages: 967-979

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] Asymptotic Chow semi-stability and integral invariants2004

    • Author(s)
      A.Futaki
    • Journal Title

      International Journal of Mathematics 15

      Pages: 967-979

    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] 微分幾何講義-一般理論と現代物理への応用2003

    • Author(s)
      二木昭人
    • Journal Title

      別冊数理科学,SGCライブラリー23(サイエンス社)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Some invariant and equivariant cohomology classes of the space of Kahler metrics2002

    • Author(s)
      A.Futaki
    • Journal Title

      Proc. Japan Acad. Ser A Vol.78

      Pages: 27-29

    • NAID

      40005329333

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] Some invariant and equivariant cohomology classes of the space of Kahler metrics2002

    • Author(s)
      A.Futaki
    • Journal Title

      Proc.Japan Acad.Ser A Vol.78

      Pages: 27-29

    • NAID

      40005329333

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] Moment maps and multilinear bilinear forms Associated with symplectic classes2002

    • Author(s)
      A.Futaki, T.Mabuchi
    • Journal Title

      Asian J. Math. Vol.6

      Pages: 349-371

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] Moment maps and multilinear bilinear forms Associated with symplectic classes2002

    • Author(s)
      A.Futaki, T.Mabuchi
    • Journal Title

      Asian J.Math. Vol.6

      Pages: 349-371

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540067
  • [Journal Article] Holomorphic vector fields and perturbed extremal K" ahler metrics,

    • Author(s)
      A. Futaki
    • Journal Title

      J. Symplectic. Geom. (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Transverse K"ahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds, to appear in J

    • Author(s)
      A.Futaki, H.Ono , G.Wang
    • Journal Title

      Differential Geometry

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Journal Article] Hajime Ono and Guofang Wang, Transverse K\"ahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds

    • Author(s)
      Akito Futaki
    • Journal Title

      to appear in Journal of Differential Geometry

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Presentation] Deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      The 8th China-Japan Geometry Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      2023 Geometry and PDE Conference, Yau Center, South East University
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      Symposium on Geometry, a celebration of Eugenio Calabi's 100th birthday
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Hodge Laplacian and geometry of Kuranishi family of Fano manifolds2023

    • Author(s)
      Akito Futaki
    • Organizer
      Mathematics Colloquium, Beijing Normal University
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      International Congress of Basic Science
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      The 2023 Chongqing Symposium on Geometry 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Hodge Laplacian and deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      The 10th anniversary of Tsinghua Sanya International Mathematics Forum
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformations of Fano manifolds with weighted solitons2023

    • Author(s)
      Akito Futaki
    • Organizer
      Geometry Seminar, Beihang University
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Hodge Laplacian and geometry of Kuranishi family of Fano manifolds2022

    • Author(s)
      Akito Futaki
    • Organizer
      Geometry Seminar, Tokyo Institute of Technology
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Moment polytopes on Sasaki manifolds and volume minimization2022

    • Author(s)
      Akito Futaki
    • Organizer
      The 28th Complex Geometry Symposium, Kanazawa University (online)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Transverse coupled Kaehler-Einstein metrics, moment polytopes and volume minimization2022

    • Author(s)
      Akito Futaki
    • Organizer
      The 7th Japan-China Geometry Conference, Hiroshima University (online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Transverse coupled Kaehler-Einstein metrics and volume minimization2022

    • Author(s)
      Akito Futaki
    • Organizer
      Deformations of Geometric Structures n Current Mathematics, Harvard University (online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Conformally Kahler, Einstein-Maxwell metrics2021

    • Author(s)
      Akito Futaki
    • Organizer
      The 27th Symposium on Complex Geometry, online
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformation quantization, and obstructions to the existence of closed star products2021

    • Author(s)
      Akito Futaki
    • Organizer
      The 6th China-Japan Geometry Conference, online
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformation quantization, and obstructions to the existence of closed star products2021

    • Author(s)
      Akito Futaki
    • Organizer
      The 35th Annual Geometry Festival, online
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Quantum moment map and obstructions to the existence of closed Fedosov star products2020

    • Author(s)
      二木昭人
    • Organizer
      第26回複素幾何シンポジウム(金沢) 2020
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Coupled Sasaki-Einstein metrics and their obstructions2019

    • Author(s)
      Akito Futaki
    • Organizer
      Geometry and Analysis 2019, Fukuoka University
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Conformally Kahler, Einstein-Maxwell Geometry2019

    • Author(s)
      Akito Futaki
    • Organizer
      Complex Geometry Seminar, Shanghai Jiaotong University
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Canonical Kahler metrics, obstructions to their existence, and cohomological formula2019

    • Author(s)
      Akito Futaki
    • Organizer
      Fifth International Conference on History of Modern Mathematics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Deformation quantization, constant Cahen-Gutt momentum and intersection formula for the obstruction2019

    • Author(s)
      Akito Futaki
    • Organizer
      IMS Pacific Rim Complex-Symplectic Geometry Conference in 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] GIT stability, constant scalar curvature Kahler metrics and deformation quantizations2019

    • Author(s)
      Akito Futaki
    • Organizer
      Geometry and Quantization (Geoquant) 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Geometric nonlinear problems and GIT stability through moment maps2018

    • Author(s)
      Akito Futaki
    • Organizer
      The 11th Mathematical Society of Japan Seasonal Institute, Hokkaido University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] K安定性と幾何学的非線形問題2018

    • Author(s)
      二木昭人
    • Organizer
      東京大学数理科学研究科談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Geometric nonlinear problems and GIT stability through moment maps2018

    • Author(s)
      Akito Futaki
    • Organizer
      International conference on complex geometry and several complex variables, Chinese Academy of Sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Hessian formula for the norm squared moment maps and the structure of automorphisms2018

    • Author(s)
      Akito Futaki
    • Organizer
      CIRM Luminy, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Coupled Sasaki-Einstein metrics2018

    • Author(s)
      Akito Futaki
    • Organizer
      Forty Years of Calabi-Yau Theory, Jiaoling, Guangdong, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Moment map, GIT stability, scalar curvature and closed Fedosov star product on Kahler manifolds2018

    • Author(s)
      Akito Futaki
    • Organizer
      Legacy of Joseph Fourier after 250 years Conference, Sanya, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Conformally Kahler Einstein-Maxwell metrics2018

    • Author(s)
      Akito Futaki
    • Organizer
      Analytical problems in conformal geometry and applications, Regensburg University, Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03270
  • [Presentation] Volume minimization and obstructions to geometric problems2017

    • Author(s)
      Akito Futaki
    • Organizer
      Conference on Geometric Analysis, University of British Columbia, Canada
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Volume minimization principle for conformally Kaehler Einstein-Maxwell metrics2017

    • Author(s)
      Akito Futaki
    • Organizer
      The 7-th International Workshop on Differential Geometry
    • Place of Presentation
      Fukuoka University, Japan
    • Year and Date
      2017-03-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Hessian formula for moment maps and the structure of automorphisms2017

    • Author(s)
      Akito Futaki
    • Organizer
      Introduction to Modern Mathematics, Tsinghua University, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Volume minimization principle for conformally Kaehler Einstein-Maxwell metrics2017

    • Author(s)
      Akito Futaki
    • Organizer
      The 7-th International Workshop on Differential Geometry, Fukuoka
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Volume minimization and conformally Kahler Einstein-Maxwell metrics2017

    • Author(s)
      Akito Futaki
    • Organizer
      PRIMA third congress, Oaxaca, Mexico
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Fano-Ricci limit spaces and spectral convergence2016

    • Author(s)
      Akito Futaki
    • Organizer
      11th Pacific Rim Complex Geometry Confrence
    • Place of Presentation
      University of Science and Technology of China, Hefei, China
    • Year and Date
      2016-07-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Fano-Ricci limit spaces and spectral convergence,2016

    • Author(s)
      Akito Futaki
    • Organizer
      Kahler Geometry, Einstein Metrics, and Generalizations
    • Place of Presentation
      Mathematical Sciences Research Insitute, Berkeley, California
    • Year and Date
      2016-03-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Intorduction to K-stability in Kahler geometry I, II2016

    • Author(s)
      Akito Futaki
    • Organizer
      Berkeley-Tokyo Winter School
    • Place of Presentation
      University of California at Berkeley, USA
    • Year and Date
      2016-02-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Fano-Ricci limit spaces and spectral convergence2016

    • Author(s)
      Akito Futaki
    • Organizer
      Kaehler Geometry, Einstein Metrics, and Generalizations
    • Place of Presentation
      Mathematical Sciences Research Institute, Berkeley, California, USA
    • Year and Date
      2016-03-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Intorduction to K-stability in Kahler geometry2016

    • Author(s)
      Akito Futaki
    • Organizer
      Berkeley-Tokyo Winter School
    • Place of Presentation
      University of California at Berkeley
    • Year and Date
      2016-02-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Volume minimization principle for KRS, SE and cKEM2016

    • Author(s)
      Akito Futaki
    • Organizer
      International Conference on Differential Geometry, Macau, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Volume minimization principle for KRS, SE and cKEM2016

    • Author(s)
      Akito Futaki
    • Organizer
      International Conference on Differential Geometry
    • Place of Presentation
      University of Macau, China
    • Year and Date
      2016-12-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Fano-Ricci limit spaces and spectral convergence2016

    • Author(s)
      Akito Futaki
    • Organizer
      11th Pacific Rim Complex Geometry Conference, Hefei, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Kaehler Geometry and GIT stability2015

    • Author(s)
      二木昭人
    • Organizer
      京都大学談話会
    • Place of Presentation
      京都大学
    • Year and Date
      2015-01-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Weighted Laplacian on real and complex complete metric measure spaces2015

    • Author(s)
      Akito Futaki
    • Organizer
      Recent Advances in Kaehler Geometry
    • Place of Presentation
      Vanderbilt University, Nashville, USA
    • Year and Date
      2015-05-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Fano-Ricci limit spaces and spectral convergence2015

    • Author(s)
      Akito Futaki
    • Organizer
      Taipei Conference on Complex Geometry
    • Place of Presentation
      Institute of Mathematics, Academia Sinica, Taipei, Taiwan
    • Year and Date
      2015-12-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Weighted Laplacians on real and complex complete metric measure spaces2015

    • Author(s)
      二木昭人
    • Organizer
      満渕俊樹教授退職記念小研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2015-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Kaehler Geometry and GIT stability2015

    • Author(s)
      二木昭人
    • Organizer
      京都大学談話会
    • Place of Presentation
      京都大学
    • Year and Date
      2015-01-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Weighted Laplacians on real and complex complete metric measure spaces2015

    • Author(s)
      二木昭人
    • Organizer
      複素解析幾何セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2015-04-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Weighted Laplacian on real and complex complete metric measure spaces2015

    • Author(s)
      Akito Futaki
    • Organizer
      Recent Advances in Kahler Geometry
    • Place of Presentation
      Vanderbilt University, Nashville
    • Year and Date
      2015-05-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Fano-Ricci limit spaces and spectral convergence2015

    • Author(s)
      Akito Futaki
    • Organizer
      2015 Taipei Conference on Complex Geometry
    • Place of Presentation
      Academia Sinica, Taipei, Taiwan
    • Year and Date
      2015-12-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Weighted Laplacians on real and complex complete metric measure spaces2015

    • Author(s)
      二木昭人
    • Organizer
      満渕俊樹教授退職記念小研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2015-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610013
  • [Presentation] Weighted Laplacians on real and complex complete metric measure spaces2015

    • Author(s)
      二木昭人
    • Organizer
      複素解析幾何セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2015-04-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] ケーラー・アインシュタイン計量とK安定性2013

    • Author(s)
      二木昭人
    • Organizer
      熊本大学談話会
    • Year and Date
      2013-04-24
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] ケーラー・アインシュタイン計量とK 安定性2013

    • Author(s)
      二木昭人
    • Organizer
      第12 回岡シンポジュウム
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2013-12-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] On the book "Transformation groups in Differential Geometry". Geometry and Analysis on Manifolds2013

    • Author(s)
      A. Futaki
    • Organizer
      A Memorial Symposium for Professor Shoshichi Kobayashi--
    • Place of Presentation
      東京大学数理科学研究科
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Lower diameter bound for compact shrinking solitons2013

    • Author(s)
      Akito Futaki
    • Organizer
      The Asian Mathematical Conference 2013
    • Place of Presentation
      BEXCO, Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] K¥"ahler-Einstein metrics and K-stablity2013

    • Author(s)
      A. Futaki
    • Organizer
      Special Seminar
    • Place of Presentation
      University of Bucharest
    • Year and Date
      2013-06-15
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Lower diameter bound for compact shrinking solitons, Extremal K¥"ahler Metrics2013

    • Author(s)
      A. Futaki
    • Organizer
      Centre de recherches math¥'ematiques
    • Place of Presentation
      Universit¥'e de Montr¥'eal
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Sasaki-Einstein geometry2013

    • Author(s)
      Akito Futaki
    • Organizer
      Geometry and dynamics 2013
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2013-09-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      International Conference on Differential Geometry and Nonlinear PDEs
    • Place of Presentation
      Hunan Normal University, Chansha, China
    • Year and Date
      2012-05-16
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler-Einstein 計量と GIT 安定性2012

    • Author(s)
      二木昭人
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] 錐多様体上の平均曲率流の自己相似解2012

    • Author(s)
      二木昭人
    • Organizer
      広島幾何学研究集会 2012
    • Year and Date
      2012-10-05
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] K¥"ahler-Einstein 計量と GIT安定性2012

    • Author(s)
      二木昭人
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      International Conference on Differential Geometry and Nonlinear PDEs
    • Place of Presentation
      Chansha, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] コンパクト多様体上の縮小勾配リッチソリトンの直径について2012

    • Author(s)
      二木昭人
    • Organizer
      広島幾何学研究集会 2012
    • Year and Date
      2012-10-05
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      Conformal and K¥"ahler geometry
    • Place of Presentation
      Institut Henri Poincare, Paris, France
    • Year and Date
      2012-12-12
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] 幾何学的流れとその自己相似2012

    • Author(s)
      二木昭人
    • Organizer
      東北大学談話会
    • Year and Date
      2012-11-05
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      Geometry Seminar
    • Place of Presentation
      Sun Yat-sen University, Guangzhou, China
    • Year and Date
      2012-03-22
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Geometric flows and their self-similar solutions2012

    • Author(s)
      二木昭人
    • Organizer
      トポロジー火曜セミナー
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2012-10-02
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      Geometry Seminar
    • Place of Presentation
      University of Hong Kong, Hong Kong
    • Year and Date
      2012-03-13
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kahler-Einstein計量とK-安定性2012

    • Author(s)
      二木昭人
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学(招待講演)
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] 複素微分幾何に現れる積分不変量について2012

    • Author(s)
      二木昭人
    • Organizer
      東京大学談話会
    • Year and Date
      2012-11-16
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] コンパクト多様体上の縮小勾配リッチソリトンの直径について2012

    • Author(s)
      二木昭人
    • Organizer
      広島幾何学研究集会
    • Year and Date
      2012-10-05
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Self-similar solutions to the mean curvature flow on cone manifolds2012

    • Author(s)
      A. Futaki
    • Organizer
      Chinese Academy of Sciences
    • Place of Presentation
      Beijing, China
    • Year and Date
      2012-02-22
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler-Einstein 計量と K-安定性2012

    • Author(s)
      Akito Futaki
    • Organizer
      日本数学会年会,総合講演(招待講演)
    • Place of Presentation
      東京理科大学
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] 複素微分幾何に現れる積分不変量について変量について2012

    • Author(s)
      二木昭人
    • Organizer
      東京大学談話会
    • Year and Date
      2012-11-16
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      Geometry Seminar
    • Place of Presentation
      University of Hong Kong
    • Year and Date
      2012-03-13
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones2012

    • Author(s)
      A. Futaki
    • Organizer
      Conformal and Kaehler geometry, Institut Henri Poincare
    • Place of Presentation
      Paris, France
    • Year and Date
      2012-12-12
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Integral invariants in complex differential geometry2011

    • Author(s)
      A. Futaki
    • Organizer
      Mathematics Colloquium
    • Place of Presentation
      University of Freiburg, Germany
    • Year and Date
      2011-07-07
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Extremal Kaehler metrics and GIT stability2011

    • Author(s)
      A. Futaki
    • Organizer
      Mathematical Science Center, Fall Program 2011
    • Place of Presentation
      Tsinghua University, China
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Integral invariants in complex differential geometry2011

    • Author(s)
      A. Futaki
    • Organizer
      Mathematics Colloquium
    • Place of Presentation
      University of Freiburg, Germany
    • Year and Date
      2011-07-07
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Lower diameter bounds for compact shrinking Ricci solitons2011

    • Author(s)
      A. Futaki
    • Organizer
      "Introduction to Modern Mathematics", Mathematical Science Center
    • Place of Presentation
      Tsinghua University, China
    • Year and Date
      2011-09-23
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler-Ricci solitons and Sasaki-Einstein geometry2011

    • Author(s)
      A. Futaki
    • Organizer
      Geometry/Topology Seminar20100302
    • Place of Presentation
      State University of New York at Stony Brook, USA
    • Year and Date
      2011-03-02
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Lower diameter bounds for compact shrinking Ricci solitons2011

    • Author(s)
      二木昭人
    • Organizer
      松江微分幾何学研究会2011
    • Place of Presentation
      島根大学
    • Year and Date
      2011-12-17
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Lower diameter bounds for compact shrinking solitons2011

    • Author(s)
      A. Futaki
    • Organizer
      Complex Geometry Seminar Series, Simons Center for Geoemtry and Physics
    • Place of Presentation
      State University of New York at Stony Brook, USA
    • Year and Date
      2011-05-04
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Integral invariants in complex geometry2011

    • Author(s)
      A. Futaki
    • Organizer
      Beijing International Center for Mathematical Sciences
    • Place of Presentation
      Peking University, China
    • Year and Date
      2011-09-19
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Integral invariants in complex differential geometry2011

    • Author(s)
      A. Futaki
    • Organizer
      Differentialgeometrie im Gro{¥ss}en
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Germany
    • Year and Date
      2011-07-07
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Extremal K¥"ahler metrics and GIT stability, Mathematical Science Center2011

    • Author(s)
      A. Futaki
    • Organizer
      Fall Program 2011
    • Place of Presentation
      Tsinghua University, China
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Multiplier ideal sheaves and geometric problems2010

    • Author(s)
      A. Futaki
    • Organizer
      2010 Great Lakes Geometry Conference
    • Place of Presentation
      University of Wisconsin at Madison, USA
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Toric Sasakian-Einstein manifolds2010

    • Author(s)
      A. Futaki
    • Organizer
      2010 International Workshop on Differential Geometry, Gravitation and String Theory
    • Place of Presentation
      Ehwa Womans University in Seoul, Korea
    • Year and Date
      2010-08-20
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Asymptotic Chow semistability in Kahler geometry2010

    • Author(s)
      Akito Futaki
    • Organizer
      International Congress of Chinese Mathematicians
    • Place of Presentation
      中国,清華大学
    • Year and Date
      2010-12-21
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Presentation] ケーラー幾何と漸近的 Chow 半安定性2010

    • Author(s)
      二木昭人
    • Organizer
      Complex Geometry 2010
    • Place of Presentation
      大阪大学理学部
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler geometry and asymptotic Chow semistability2010

    • Author(s)
      二木昭人
    • Organizer
      Lie変換群と複素幾何学
    • Place of Presentation
      NASPAニューオータニ,越後湯沢
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Fano 多様体上のBakry-¥'Emery 幾何2010

    • Author(s)
      二木昭人
    • Organizer
      慶応大学トポロジーセミナー
    • Year and Date
      2010-04-19
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler geometry and obstructions to asymptotic Chow semistability2010

    • Author(s)
      A. Futaki
    • Organizer
      Columbia Geometry and Analysis Seminar
    • Place of Presentation
      Columbia University, New York, USA
    • Year and Date
      2010-03-04
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Asymptotic Chow semistability in Kahler geometry2010

    • Author(s)
      Akito Futaki
    • Organizer
      International Congress of Chinese Mathematicians
    • Place of Presentation
      中国, 清華大学
    • Year and Date
      2010-12-21
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Asymptotic Chow semistability in Kaehler geometry2010

    • Author(s)
      A. Futaki
    • Organizer
      G¥'eom¥'etrie des vari¥'et¥'es complexes IV
    • Place of Presentation
      Luminy, France
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler geometry and asymptotic Chow semistability2010

    • Author(s)
      A. Futaki
    • Organizer
      The 5th Pacific Rim Conference on Mathematics
    • Place of Presentation
      Stanford University, USA
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Asymptotic Chow semistability in Kaehler geometry2010

    • Author(s)
      A. Futaki
    • Organizer
      International Congress of Chinese Mathematicians
    • Place of Presentation
      Tsinghua University, Beijing, China
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kaehler geometry and asymptotic Chow semistability2010

    • Author(s)
      A. Futaki
    • Organizer
      One Day Conference on Geometry
    • Place of Presentation
      Chinese University of Hong Kong, Hong Kong
    • Year and Date
      2010-04-28
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Lower diameter bounds for compact shrinking solitons2010

    • Author(s)
      二木昭人
    • Organizer
      第16回複素幾何シンポジウム
    • Place of Presentation
      信州菅平高原,プチホテルゾンタック
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Introduction to Sasakian geometry2010

    • Author(s)
      A. Futaki
    • Organizer
      Lecture series
    • Place of Presentation
      Chinese University of Hong Kong, Hong Kong
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] 乗数イデアル層と積分不変量2010

    • Author(s)
      二木昭人
    • Organizer
      筑波大学談話会
    • Year and Date
      2010-02-04
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Lower diameter bounds for compact shrinking solitons2010

    • Author(s)
      A. Futaki
    • Organizer
      the 6th Geometry Conference for Friendship of China and Japan
    • Place of Presentation
      Northwestern University, Xi'an, China
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Constructing Kaehler-Ricci solitons from Sasaki-Einstein metrics2009

    • Author(s)
      A. Futaki
    • Organizer
      Extremal Kaehler metrics
    • Place of Presentation
      The Banff International Research Station (BIRS), Canada
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Hilbert series and obstructions to asymptotic semistability2009

    • Author(s)
      A. Futaki
    • Organizer
      Kaehler and Sasakian Geometry
    • Place of Presentation
      Rome, Italy
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Hilbert series and obstructions to asymptotic semistability2009

    • Author(s)
      二木昭人,小野肇,佐野友二
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Presentation] Kahlerおよび佐々木・Einstein多様体に関する最近の進展2009

    • Author(s)
      二木昭人
    • Organizer
      日本数学会総合講演
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
    • Data Source
      KAKENHI-PROJECT-20654007
  • [Presentation] Kaehler および佐々木・Einstein 多様体に関する最近の進展2009

    • Author(s)
      二木昭人
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Multiplier ideal sheaves and integral invariants2009

    • Author(s)
      二木昭人
    • Organizer
      代数幾何シンポジウム
    • Place of Presentation
      城崎
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Multiplier ideal sheaves and integral invariants2009

    • Author(s)
      A.Futaki
    • Organizer
      Variational problems in differential geometry
    • Place of Presentation
      University of Leeds
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Multiplier ideal sheaves and integral invariants2009

    • Author(s)
      A. Futaki
    • Organizer
      The 4th Pacific Rim Conference on Complex and Symplectic Geometry
    • Place of Presentation
      SiChuan University, Chengdu, China
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Kahler および佐々木・Einstein 多様体に関する最近の進展2009

    • Author(s)
      二木昭人
    • Organizer
      日本数学会総合講演
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Toric Sasaki-Einstein Geometry, ''Extremal Kaehler Metrics and Kaehler-Ricci Flow''2008

    • Author(s)
      A.Futaki
    • Organizer
      Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiole Pisa
    • Place of Presentation
      Italy
    • Year and Date
      2008-03-14
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] トーリック・ファノ多様体の乗数イデアル層と積分不変量2008

    • Author(s)
      二木昭人, 佐野友二
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Presentation] トーリック・ファノ多様体の乗数イデアル層と積分不変量2008

    • Author(s)
      二木昭人, 佐野友二
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Data Source
      KAKENHI-PROJECT-17654012
  • [Presentation] Toric Sasaki-Einstein geometry,2007

    • Author(s)
      A. Futaki
    • Organizer
      幾何学シンポジウム
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2007-08-24
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Complete Ricci-flat K"ahler metrics on the canonical bundles of toric Fano manifolds,2007

    • Author(s)
      A. Futaki
    • Organizer
      International Conference in Geometry and Analysis, Nanjing 2007
    • Place of Presentation
      南京大学
    • Year and Date
      2007-08-06
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Complete Ricci-flat K"ahler metrics on the canonical bundles of toric Fano manifolds,2007

    • Author(s)
      A. Futaki
    • Organizer
      上智大学談話会
    • Place of Presentation
      上智大学
    • Year and Date
      2007-06-11
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Toric Fano多様体の標準直線束上の完備Ricci平坦計量の存在,2007

    • Author(s)
      A. Futaki
    • Organizer
      東京幾何セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2007-04-11
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Complete Ricci-flat K"ahler metrics on the canonical bundles of toric Fano manifolds,2007

    • Author(s)
      A. Futaki
    • Organizer
      Variational problems in Geometry
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Complete Ricci-flat K"ahler metrics on the canonical bundles of toric Fano manifolds-2007

    • Author(s)
      A. Futaki
    • Organizer
      International School-Conference, GEOMETRY and QUANTIZATION
    • Place of Presentation
      Steklov Mathematical Institute, Moscow, Russia
    • Year and Date
      2007-09-17
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Complete Ricci-flat K"ahler metrics on the canonical bundles of toric Fano manifolds,2007

    • Author(s)
      A. Futaki
    • Organizer
      九州大学談話会
    • Place of Presentation
      九州大学
    • Year and Date
      2007-07-18
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Complete Ricci-flat K\"ahler metrics on the canonical bundles of toric Fano manifolds2007

    • Author(s)
      A.Futaki
    • Organizer
      International School-Conference , GEOMETRY and QUANTIZATION
    • Place of Presentation
      Steklov Mathematical Institute, Moscow, Russia
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Toric Sasaki-Einstein metrics2006

    • Author(s)
      A.Futaki
    • Organizer
      第12回複素幾何シンポジウム
    • Place of Presentation
      信州菅平 高原、プチホテルゾンタック
    • Year and Date
      2006-10-25
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Stability and canonical Kahler metrics2005

    • Author(s)
      A.Futaki
    • Organizer
      Workshop on Interactions between Complex Geometry and Real Analysis
    • Place of Presentation
      Hannover
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Harmonic total Chern forms and stability2005

    • Author(s)
      A.Futaki
    • Organizer
      第11回複素幾何シンポジウム
    • Place of Presentation
      信州菅平高原、プチホテルゾンタック
    • Data Source
      KAKENHI-PROJECT-17340014
  • [Presentation] Weighted Laplacians on real and complex complete metric measure spaces

    • Author(s)
      二木昭人
    • Organizer
      東京工業大学幾何セミナー
    • Place of Presentation
      東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] 複素微分幾何に現れる積分不変量について

    • Author(s)
      二木昭人
    • Organizer
      東京大学談話会
    • Place of Presentation
      東京大学数理科学研究科
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] 錐多様体上の平均曲率流の自己相似解

    • Author(s)
      二木昭人
    • Organizer
      広島幾何学研究集会
    • Place of Presentation
      広島大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] コンパクト多様体上の縮小勾配リッチソリトンの直径について

    • Author(s)
      二木昭人
    • Organizer
      広島幾何学研究集会
    • Place of Presentation
      広島大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] 幾何学的流れとその自己相似解

    • Author(s)
      二木昭人
    • Organizer
      東北大学談話会
    • Place of Presentation
      東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-21244003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones

    • Author(s)
      Akito Futaki
    • Organizer
      Conformal and K"ahler geometry
    • Place of Presentation
      Institut Henri Poincare, Paris, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] Lower diameter bound for compact shrinking solitons

    • Author(s)
      Akito Futaki
    • Organizer
      Extremal Kaehler Metrics
    • Place of Presentation
      Centre de recherches mathematiques, Universite de Montreal
    • Year and Date
      2013-05-26 – 2013-06-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Special Lagrangian submanifolds and Lagrangian self-shrinkers in toric Calabi-Yau cones

    • Author(s)
      Akito Futaki
    • Organizer
      LIE THEORY AND ITS APPLICATIONS IN PHYSICS
    • Place of Presentation
      Varna, Bulgaria
    • Year and Date
      2013-07-17 – 2013-07-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] On the book ``Transformation groups in Differential Geometry''

    • Author(s)
      Akito Futaki
    • Organizer
      Geometry and Analysis on Manifolds, -- A Memorial Symposium for Professor Shoshichi Kobayashi --
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2013-05-22 – 2013-05-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247003
  • [Presentation] Kaehler-Einstein metrics and K-stablity

    • Author(s)
      Akito Futaki
    • Organizer
      Special Seminar
    • Place of Presentation
      University of Bucharest,ルーマニア
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
  • [Presentation] ケーラー・アインシュタイン計量と K 安定性

    • Author(s)
      二木昭人
    • Organizer
      熊本大学談話会
    • Place of Presentation
      熊本大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654023
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  • 133.  Yang Hongcang
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