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MABUCHI TOSHIKI  満渕 俊樹

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MABUCHI Toshiki  満渕 俊樹

真渕 俊樹  マブチ トシキ

満淵 俊樹  マブチ トシキ

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Researcher Number 80116102
Other IDs
External Links
Affiliation (Current) 2025: 大阪大学, その他部局等, 名誉教授
Affiliation (based on the past Project Information) *help 2015 – 2024: 大阪大学, その他部局等, 名誉教授
2015: 大阪大学, 理学研究科, 名誉教授
2014: 大阪大学, 理学研究科, 教授
2013 – 2014: 大阪大学, 大学院理学研究科, 教授
2012 – 2014: 大阪大学, 理学(系)研究科(研究院), 教授 … More
2007 – 2011: Osaka University, Graduate School of Science, Professor
2010: 大阪大学, 理学研究科, 教授
2009: 大阪大学, 大学院・理工学研究科, 教授
2004 – 2007: 大阪大学, 理学研究科, 教授
2005 – 2006: 大阪大学, 大学院理学研究科, 教授
1996 – 2005: Osaka Univ., Math.Dept., Professor, 大学院・理学研究科, 教授
1999: Osaska University, Professor, 理学部, 教授
1997: Univ.of OSAKA,RES.INST.of SCI., PROF., 理学研究科, 教授
1994 – 1996: 大阪大学, 理学部, 教授
1995: 大阪大学, 大学院理学研究科, 教授
1994: 大阪大学, 理学部, 助教授
1990 – 1993: 大阪大学, 教養部, 教授
1987 – 1989: 大阪大学, 教養部, 助教授
1988: 大阪大学, 教養学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 11020:Geometry-related / Basic analysis … More / Basic analysis / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 Less
Keywords
Principal Investigator
Kahler-Einstein計量 / モジュライ空間 / 安定性 / 偏極代数多様体 / テスト配位 / K-安定性 / Hitchin-Kobayashi対応 / 漸近的ベルグマン核 / stability / ファノ多様体 … More / obstruction / test configuration / balanced metric / extremal metric / constant scalar curvature / Chow計量 / Zhangの臨界計量 / 定スカラー曲率 / Hitchin-Kobayashi correspondence / Kahler-Einstein metric / 定スカラー曲率ケーラー計量 / Donaldson-二木不変量 / モンジュ=アンペール方程式 / Donaldson-Tian-Yau予想 / 幾何学 / 複素解析幾何 / 複素多様体 / 漸近安定性 / 標準束 / Tian / 小林-Hitchin対応 / 複素幾何 / アインシュタイン=ケーラー計量 / 二木障害 / toric非特異射影多様体 / モーメント写像 / Einstein-Kahler計量 / Zariski 分解 / 計量の存在問題 / 端的ケーラー計量 / Chow norm / degeneration / geometry / Extremal metric / 射影kahler多様体 / extremal Kahle計量 / Caltin-Lu-Tian-Zelditch / Hilbert-Mumford漸近安定性 / Chow-Mumford漸近安定性 / 存在問題 / extremal-Kahler計算 / Hilbert-mumford安定性 / Chow-mumford安定性 / Test configuration / 退化 / Asymptotic Bergman Kernel / Chow metric / Zhang's critical matric / Extremal Kahler metric / Stability / Zhang / kahler-Einstein計量 / Bando-Calabi-Futaki指標 / Zhnng / Extremal-Kahler計量 / Extremal Kahler計量 / Futaki choracter / anticanonical bundle / canonical bundle / Kahler structure / symplactic structure / 複数幾何 / Kahler-Einstein軽量 / シンプレティック構造 / 二木指標 / 反標準束 / ケーラー構造 / シンプレクティック構造 / geometric invariant theory / 二木不変量 / 一般化されたカラビ予想 / ヤンミルズ場 / 曲率演算 / 曲率構造 / 曲率 / 相対安定性 / polybalanced計量 / テスト配位列 / 強K-安定性 / 定スカラー曲率ケーラー計量カラー曲率ケーラー計量 / extremal Kaehler 計量 / extremal Kaehler計量 / 定スカラー曲率Kaehler計量 / トーリック微分幾何 / 偏極射影代数多様体 / 佐々木アインシュタイン計量 / Ricci soliton / Donaldson / S.Zhang / Gieseker / 一般的代数曲線 / orbifold / 特異点 / balanced計量 / Orbifold / multiplier Hermitian 計量 / Meyerの直径有界性定理 / multiplier-Hermitian計量 / グリーン関数 / 熱核評価の方法 / Kahler-Ricci soliton / Myersの直径有界性定理 / 「捩れのある」エルミート接続 / multiplier-Hermition計量 / ハミルトン正則ベクトル場 / Arakelov geometry / Mumford / Viehweg / 反準束 / Kahler多様体 / ベルグマン計量 / 偏極多様体 / 森理論の局所化 / 多重種数 / 運動量写像 / 相対エントロピー / ケーラー多様体 / 直交分解定理 / 多重標準系 / トーリックファノ / 松島障害 / 藤田予想 / ネバンリナの第2主定理 / Alabarese写像の一般化 / 情報幾何 / Duistermaict-Heckmar則度 / シンプレクティック多様体 / シンプレクティック幾何学 / Q構造 / Torelli型定理 / 極限擬ノルム構造 / 擬ノルム構造 / 複素構造 / コンパクト化 / 障害 / イクストゥリーマル=ケーラー計量 / 周期写像 / 擬ノルム代数 / デルペヅ曲面 / グロモフ=コンパクト化 / ベクトル束 / YangーMills場 / 強Lefschetz型定理 / 消滅定理 / del Pezzo曲面 / Gromovコンパクト化 / Mixed Hodge構造 … More
Except Principal Investigator
ケーラー多様体 / ツイスター空間 / モジュライ空間 / スカラー曲率 / 超ケーラー多様体 / 複素多様体 / 一般化された複素構造 / ポアソン構造 / 一般化されたケーラー構造 / アインシュタイン計量 / 乗数イデアル層 / モーメント写像 / 変形理論 / 双エルミート構造 / 自己双対多様体 / ケーラー・アインシュタイン計量 / 極小曲面 / 群作用 / 代数次元 / 複素構造 / scalar curvature / algebraic dimension / complex manifold / twistor space / 自己双対計量 / moduli space / 調和写像 / モーメントマップ / 一般化されたケーラー多様体 / カラビーヤオ構造 / 一般化された複素多様体 / 一般化された幾何構造 / 特異点 / 情報幾何学 / 幾何構造 / 微分幾何 / 多変数複素解析 / 井上曲面 / 代数多様体 / 小林・ヒッチン対応 / 一般化されたケーラー幾何学 / hyperkahler manifold / Douady空間 / Calabi-Yau多様体 / Spin(7)多様体 / G_2多様体 / カラビ・ヤオ多様体 / group action / self-dual manifold / Teichmuller space / pseudoconvex domain / value distribution / geometric complex analysis / several complex variables / タイヒミューラー空間 / 擬凸領域 / 値分布 / 小林双曲的多様体 / 幾何学的複素解析 / Kahler manifold / 渦糸の方程式 / アレクサンドロフ空間 / シンプレクティック幾何学 / 接触構造 / ケーラー計量 / 値分布論 / ベルグマン核 / 曲線 / 曲面 / 微分幾何学 / ポアソン多様体 / リッチ平坦計量 / カラビーヤオ多様体 / 変曲点 / 極大曲面 / 双対性 / 波面 / 平均曲率 / ガウス曲率 / 量子情報 / 非可換統計学 / 擬フックス群 / 2橋結び目 / 曲面束 / 双曲構造 / ヘガード分解 / VII型曲面 / 佐々木多様体 / リッチ・ソリトン / 二木不変量 / Fano多様体 / ガウス写像 / 基本群 / 変形 / ディラック型作用素 / シンプレクティック多様体 / モ-ス理論 / 摂動展開 / ファインマン積分 / 超曲面 / 保型形式 / 自己同型群 / 変分問題 / 熱方程式 / 弾性曲線 / 量子化ハミルトニアン / シュレディンガ-方程式 / 擬微分作用素 / 一般化されたYTD 予想 / 一般化された複素幾何学 / 一般化された正則ベクトル束 / 一般化されたスカラー曲率 / 一般化されたリッチフロー / LCGK structures / アインシュタイン・ケーラー計量 / 安定ベクトル束 / ポアソン モジュール / 正則ベクトル束 / アインシュタイン・エルミート計量 / 松島・リヒネロビッツの定理 / 簡約群 / 一般化されたリッチ流 / 一般化されたケーラー幾何 / 一般化された佐々木構造 / 多重安定性 / 小林ーヒッチン対応 / 一般化された接触構造 / 撹乱パラメタ / 繰り込み群 / Finsler計量 / 適応的量子推定 / 双対平坦 / 単調計量 / 局所漸近正規性 / 量子仮説検定 / Markov不変性 / 非可換確率論 / 量子統計学 / 量子確率空間 / 国際研究者交流 (ドイツ, ロシア) / Vaisman構造 / 等質局所共形ケーラー構造 / 可解Lie群 / 簡約Lie群 / ケーラー構造 / homogeneous complex / conformal Kaehler / 等質多様体 / 局所共形ケーラー構造 / generalized structure / Moduli spaces / Deformations / geometric structure / Spin(7) structure / G_2 structure / hyperK"ahler structure / Calabi-Yau structure / シンプレクティク多様体 / Spin(7)構造 / G_2構造 / 超ケーラー構造 / カラビ-ヤオ構造 / asymptotics / representation theory / martingale / Cramer-Rao inequality / adaptive estimation / information geometry / complete positivity / quantum channel / 量子Fisher情報量 / Pauli通信路(パウリ通信路) / エンタングルド状態 / 量子幾何 / パラメータ推定 / 漸近論 / 表現論 / マーチンゲール / クラメル・ラオ不等式 / 適応的推定 / 完全正写像 / 量子通信路 / canonical divisor / singular Hermitian metric / multiplier ideal sheaf / 交点理論 / 特異エルミート計算 / 乗数デイアル層 / 多重標準形式 / 随伴束 / 順層 / Griffiths正 / Hodge計量 / 消滅定理 / 標準束 / 特異エルミート計量 / Inoue surface / surface of type VII / self-dual metric / surface / curve / Evolution equation / Variational problem / 解の滑らかさ / 運動方程式 / 平均曲率一定超曲面 / 極小部分多様体 / 一般次元 / 部分多様体 / 境界 / 非連結 / 発展方程式 / moment map / geometric invariant theory / K-stability / 不変コホモロジー / 同変コホモロジー / トーラス埋め込み / 幾何学的不変式論 / K安定性 / Subharmonic functions / The scaler curvature equation / Harmonic map / Parabolicity of manifold / 超曲面の極小性 / チーガーの定数 / 漸近的な最大値原理 / 平均曲率作用素 / 非線形シュレジンガー方程式 / 劣調和函数 / 劣調和関数 / スカラー曲率の方程式 / 多様体の放物性 / pretzel link / Toroidal compactification / Computational algebras / Groebner basis / Twister spaces / Algebraic surfacees with group actions / Q-homology planes / Etale endomorphism / グレーブナー基底 / 対数的del pezzo曲面 / 開代数曲面 / Makar-Limanov不変量 / 極小自由分解 / 半群環 / 代数曲線束 / 代数曲面 / Moishezoh-Kahler空間 / 加法群スキーム / Jones多項式 / link / BMO関数 / アフィン擬平面 / 普遍被覆 / pretzelリンク / トロイダル・コンパクト化 / 計算代数 / グレブナー基底 / 群作用と代数曲面 / Q-ホモロジー平面 / 不分岐自己準同型射 / complex dynamics / Kobayashi hyperbolic manifold / 複素力学系 / Doady space / Einstein-Weyl幾何 / ハイパーケーラー多様体 / Spin(7) manifolds / G_2 manifolds / Calabi-Yau manifolds / Hyper Kahler manifolds / ミラー対称性 / G2多様体 / モノポール / Spin(7)-多様体 / G_2-多様体 / camical ring / LィイD12ィエD1-es**hch / moduli / Toric多様体 / ∂-方程式 / 乗数イデアル / L^2-評値式 / 偏極多様体 / 標準環 / L^2-組織 / elliptic fiber space / toric surface / Joyce conjecture / ハイパーケーラー計量 / Twistor空間 / 楕円ファイバー空間 / toric曲面 / Joyce予想 / twistor空間 / blow up / a priori estimate / weight function / boundary matrix / symmetric system / ブロウアップ / アプリオリ評価 / 重み関数 / 境界行列 / 対称系 / once-punctured forus / quasi-Fuchsian group / 2-bridge knot / cone-manifold / hyperbolic structure / Heegaard splitting / 穴開きトーラス / 結び目 / コーン多様体 / 放物的変換 / Riley slice / 離散性判定 / ファイバー結び目 / 標準的分解 / フォード領域 / 凝フックス群 / 一点穴開きトーラス / 錐多様体 / guasi-conformal mapping / Dirac-type operata / complex structure / algebraic manifold / deformation / 直線束 / 倉西空間 / 森理論 / L^2評価 / 擬等角写像 / デイラック型作用素 / invariant metric / Kobayahsi hyperbolic manifold / タイヒミューラー理論 / モジュライ理論 / 不変計量 / Vojta's dictionary / Tening on the bagasilhmic derivative / second main conjecture / Abeliam variety / Radon transform / Diophantine approximation / value distribution theory / holomorphic curve / 第2主要予想 / ディオファントス近似論 / Vojtaの辞書 / 対数微分の補題 / 第2主要予測 / アーベル多様体 / ラドン変換 / ディオファンスト近似論 / 正則曲線 / DIFFERENTIAL GEOMETRY / CONFORMAL STRUCTURE / MANIFOLD / Einstein-Weyl多様体 / 共形構造 / 微分多様体 / Bergman kernel / Groebner bases / Einstein metric / Eells-Sampson's equation / semi-stablity / n-end catenoids / CR構造 / extremal kahler計量 / 半線型波動方程式 / アインシュタイン / コンパクト・ケーラー / 山辺不変量 / 幾何学的不変量 / グレブナ-基底 / Eells-Sampson方程式 / 準安定性 / n端懸垂面 / 3-dimensional nomogeneous space / vortex filament equation / nonlinear Schro-dinger equation / 対称空間 / 橋本変換 / 渦糸 / シュレディンガー方程式 / 3次元等質空間 / 渦系の方程式 / 非線型シュレディンガー方程式 / Kleiniaangroup / Floer homology / Hamiltoniansystem / Hyperbolic Geometry / Symplectic Geometry / Geometric Grouptheory / String Theory / Gauge Theory / モース理論 / 量子群 / 位相的場の理論 / クライン群 / フレア-ホモロジー / ハミルトン系 / 双曲幾何学 / 幾何学的群論 / 弦理論 / ゲージ理論 / Integrable system / Symplectic geometry / Dynamical system / Complex differential geometry / Riemannian geometry / Geometric variational problem / Global analysis / Geometry of manifolds / 等質空間 / 巾零幾何学 / 可積分系 / 力学系 / 複素微分幾何学 / リーマン幾何学 / 幾何学的変分問題 / 大域解析学 / 多様体の幾何学 / 確率過程 / 最適化問題 / 非線形計画法 / 線形計画法 / 正則写像 / 正則族 / タイヒミュラー空間 / モデュライ空間 / リーマン面 / シンプレクティク構造 / 対数変換 / ケーラーーアインシュタイン計量 / K 安定性 / 一般化されたケーラー・アインシュタイン計量 / 一般化されたケーラー・アインシュタイン構造 / アインシュタインーエルミート計量 / 一般化された接続 / エルミートアインシュタイン計量 / ケーラーアインシュタイン計量 / 局所等角ケーラー構造 / ノン-ケーラー多様体_ / リッチ平坦ケーラー計量 / 佐々木構造 / 一般化された幾何学 / 4次元多様体の対数変換 / 一般化された超ケーラ-構造 / 一般化されたケーラ-構造 / からビーヤオ多様体 / 等質有界領域 / 連接層 / 解析的捩率 / 放物型幾何 / 乗数層イデアル / CR多様体 / 4頂点定理 / ガウス・ボンネの定理 / 4頂点定理 / 半正定値計量 / Fano 多様体 / 自己相似解 / 平均曲率流 / アインシュタインー佐々木多様体 / アインシュタイン-佐々木多様体 / 幾何学 / ホッジ計量 / 退化族 / 多重標準束 / 捩率 / スコア関数 / 既約表現 / ユニタリ群 / 量子通信路の推定 / ファイバーバンドル / ランダム測定 / スピン緩和時間 / 凸計画問題 / 情報幾何 / 量子推定 / 自由エネルギー / 有効ハミルトニアン / スピン / 平均場近似 / 統計力学 / 仮説検定 / ザイフェルト曲面 / virtual fiber / Montesinos knot / 垣水複体 / 強可逆結び目 / 穴あきトーラス束 / Cannon-Thurston-Dicks分解 / Canonical decomposition / Cannon-Thurston写像 / へガード分解 / small cancellation theory / 標準的分割 / Cannon-Thurston map / 穴あきトーラス / 3次元多様体 / 反自己双対多様体 / リッチソリトン / AdS-CFT対応 / 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 / 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 / 複素歳何 / 複素幾何 / 複素解析 / 多変数関数論 / 実関数論 / 関数論 / 超複素多様体 / ホップ多様体 / ファイバー束 / 極複素構造 / 小平次元 / シンプレエクティック不変量 / ネーデルの不変量 / ディラック作用素 / 間隙定理 / ジーゲル上半空間 / 概均質ベクトル空間 / ジーゲルアイゼンシュタイン級数 / ゼータ関数 / モデュライ / Gromov-Witten不変量 / 擬正則曲線 / ヴァンヴレェック-パウリの公式 / ウィーナー空間における停留位相の方法 / 確率振動積分 / 分岐集合 / 正規特異点 / 分岐被覆 / 対称化 / 非退化特性点 / 包合的 / 局所化系 / 強双曲系 / 特異摂動 / 波動方程式 / Pfaff系 / Killing形式 / 代数曲線の有理点 / 部分コンパクト化 / SL(2)-軌道 / 結合構造 / 射影空間 / ネット / 定数磁場 / スペクトル解析 / 非相対論 / 相対論 / ディラック方程式 / ヤン・ミルズ場のモジュライ / 不安定な解 / 非線型熱方程式 / 変分原理 / ヤン・ミルズ方程式 / アインシュタイン方程式 / 磁場 / 本質的自己共役性 Less
  • Research Projects

    (76 results)
  • Research Products

    (170 results)
  • Co-Researchers

    (161 People)
  •  一般化されたケーラー幾何学の新展開

    • Principal Investigator
      後藤 竜司
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka University
  •  The Chow norm and the existence problem of extremal metricsPrincipal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      2018 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka University
  •  Kobayashi-Hitchin correspondence and Donaldson-Tian-Yau conjecture on generalized complex geometry

    • Principal Investigator
      Goto Ryushi
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka University
  •  The study of the existence problem in the Donaldson-Tian-Yau conjecturePrincipal Investigator

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      2013 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Integrated research of Calabi-Yau structures and generalized complex structures

    • Principal Investigator
      Goto Ryushi
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  The study of ideal limits of sequences of test configurationsPrincipal Investigator

    • 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
  •  Study of Complex Structures and Conformal Geometric Structures on Homogeneous Spaces

    • Principal Investigator
      HASEGAWA KEIZO
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
  •  Geometry of curves, surfaces and hypersurfaces with singularities

    • Principal Investigator
      UMEHARA Masaaki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
      Osaka University
  •  New development of geometric complex analysis

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Geometric structures defined by differential forms (Calabi-Yau structures, generalized Kaeher structures)

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Exploring Information Geometrical Methods in Noncommutative Probability Theory

    • Principal Investigator
      Fujiwara Akio
    • Project Period (FY)
      2010 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  AdS/CFT correspondence and GIT stablity

    • 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
  •  Geometry of Ricci solitons on complex manifoldsPrincipal Investigator

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometry of curves and surfaces with singularities

    • Principal Investigator
      UMEHARA Masaaki
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Research on pluricanonical bundles and multiplier ideal sheaves for a degenerate family of complex manifolds

    • Principal Investigator
      TAKAYAMA Shigeharu
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Geometrtic structures defined by differential forms (Topological Calibrations)

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  GIT stability and canonical Kahler metrics

    • 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
  •  Geometry of twistor spaces

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Heegaard structures and geometric structures of 3-manifolds

    • Principal Investigator
      SAKUMA Makoto (MAKOTO Sakuma)
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hiroshima University
      Osaka University
  •  Quantum information geometrical methods in noncommutative statistics

    • Principal Investigator
      FUJIWARA Akio
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Orbifold上の仮想balanced計量の研究Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Integrated Research of Analytic and Geometric Invariants of Complex Structure

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      2005 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  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
  •  Existence Problem of Fxtremal Metran and Degeneration of Balanced MetricsPrincipal Investigator

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  コンパクト非ケーラー多様体の研究

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometry of twistor spaces

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Multiplier ideal sheaves in complex geometry ; the foundation and its applications.

    • Principal Investigator
      TAKAYAMA Shigeharu
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Kyushu University
  •  Statistical Estimation Theory for Quantum Channels

    • Principal Investigator
      FUJIWARA Akio
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Unified approach of Ricci-flat manifolds

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometric Non-linear problems and stability in invariant theory

    • 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
  •  Variational problem and evolution equation of curves and surfaces

    • Principal Investigator
      KOISO Norihito
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  捩れをもつ接続の幾何学Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Integrated Study of Complex Analytic Structure

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Etale endomorphisms of algebraic varieties

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kwansei Gakuin University
      Osaka University
  •  The Hitchin-Kobayashi correspondence for ManifoldsPrincipal Investigator

    • Principal Investigator
      MABUTCHI Toshiki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Asymptotic behavior of solutions of a certain quasi non-linear operator and its application to geometric function theory

    • Principal Investigator
      TAKEGOSHI Kensho
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Geometry of twistor spaces

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Hyper Kahler manifolds

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometry of twistor space

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Symplectic Structures and Geometry of Canonical BundlePrincipal Investigator

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Analytic Study of Moduli Spaces

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  シンプレクティック多様体の構造論と新しい不変量の定義

    • Principal Investigator
      榎 一郎
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  正則写像のモジュライ空間の数理物理学的研究Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometric Complex Analysis

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
      Tokyo Institute of Technology
  •  Deformation of kahler manifolds via higher dimensiond guasi-conformd mapping

    • Principal Investigator
      ENOKI Ichiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Heegaand spliffings and hyperbolic structures of 3-manifolds

    • Principal Investigator
      SAKUMA Makoto
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Study on symmetric positive systems

    • Principal Investigator
      NISHITANI Tatsuo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  ケーラー多様体上の相対エントロピーPrincipal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  ファインマン積分とその摂動展開から導出される幾何学的不変量の研究

    • Principal Investigator
      榎 一郎
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Maass Koecher Seriesの研究

    • Principal Investigator
      伊吹山 知義
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Global Analysis of Manifolds and Conformal Structures

    • Principal Investigator
      ITOH Mitsuhiro
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      UNIVERSITY OF TSUKUBA
  •  Value Distribution Theeory and Algebraic Geometry

    • Principal Investigator
      KOBAYASHI Ryoichi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  複素多様体の分岐被覆と基本群

    • Principal Investigator
      難波 誠
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  複素幾何の総合研究Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  ウィーナー空間上の確率解析

    • Principal Investigator
      真鍋 昭次郎
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  ファインマン積分とその摂動展開から導出される幾何学的不変量の研究

    • Principal Investigator
      榎 一郎
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Interaction between Geometry and various mathematics

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Nonlinear Schrodinger eqnations on riemannian manitolds

    • Principal Investigator
      KOISO Norihito
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Research on geometric invariants and moduli spaces

    • Principal Investigator
      SAKANE Yusuke
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  モーメント写像のQ構造Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  モーメント写像の諸構造Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  弾性波動方程式の研究

    • Principal Investigator
      小磯 憲史
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  双曲型偏微分方程式の初期値問題

    • Principal Investigator
      西谷 達雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  代数多様体のHodge理論とその物理学への応用

    • Principal Investigator
      臼井 三平
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  幾何構造の退化とモジュライのコンパクト化Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometry of Manifolds and Global Analysis

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  周期写像とモジュライ空間のコンパクト化Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  弾性曲線の研究(熱方程式による分析)

    • Principal Investigator
      小磯 憲史
    • Project Period (FY)
      1992
    • Research Institution
      Osaka University
  •  代数的組合せ論の研究と有限射影平面研究への応用

    • Principal Investigator
      平峰 豊
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  幾何学的諸構造とそのモジュライ空間Principal Investigator

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  アインシュタイン計量の熱方程式による研究

    • Principal Investigator
      KOISO Norihito
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  擬微分作用素論とハミルトン作用素

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  擬微分作用素論とシュレディンガ-方程式

    • Principal Investigator
      NAGASE Michihiro
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  リーマン空間の曲率構造と曲率演算についてPrincipal Investigator

    • Principal Investigator
      小島 政利, 満渕 俊樹
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tottori University
      Osaka University
  •  タイヒミュラー空間論とその応用

    • Principal Investigator
      今吉 洋一
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  統計学における数理計画的方法とその応用

    • Principal Investigator
      石井 恵一
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University

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

All Journal Article Presentation Book

  • [Book] 幾何学百科「幾何学と物理」2023

    • Author(s)
      大槻知忠,満渕俊樹,亀谷幸生
    • Total Pages
      381
    • Publisher
      朝倉書店
    • ISBN
      9784254116199
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Book] Test Configurations, Stabilities and Canonical Kaehler Metrics2021

    • Author(s)
      Toshiki Mabuchi
    • Total Pages
      128
    • Publisher
      Sringer Briefs in Mathematics, Springer Nature Singapore
    • ISBN
      9789811604997
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Book] An affine sphere equation associated to Einstein toric surfaces, 4th ICCM, AMS/IP Stud. Adv. Math. 482010

    • Author(s)
      T.Mabuchi
    • Publisher
      AMS, Providence, RI
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] Asymptotic Polybalanced kernels on extremal Kaehler manifolds2019

    • Author(s)
      T. Mabuchi
    • Journal Title

      Asian J. Math.

      Volume: Mok教授還暦記念号

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Journal Article] Asymptotic polybalanced kernels on extremal Kaehler manifolds2018

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Asian J. Math.

      Volume: 22 Issue: 4 Pages: 647-664

    • DOI

      10.4310/ajm.2018.v22.n4.a2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03277, KAKENHI-PROJECT-25287010
  • [Journal Article] The Yau-Tian-Donaldson conjecture for general polarizations, I2016

    • Author(s)
      T. Mabuchi
    • Journal Title

      Geometry and Topology of Manifolds, Springer Japan

      Volume: 1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Journal Article] The Yau-Tian-Donaldson conjecture for general polarizations, I2016

    • Author(s)
      T. Mabuchi
    • Journal Title

      Geometry and Topology of Manifolds, Springer Japan

      Volume: 1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Journal Article] The Yau-Tian-Donaldson conjecture for general polarizations, I2016

    • Author(s)
      T. Mabuchi
    • Journal Title

      Springer Proc. Math. Stat.

      Volume: 154 Pages: 235-245

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Journal Article] The Yau-Tian-Donaldson conjecture for general polarizations, I2016

    • Author(s)
      T. Mabuchi
    • Journal Title

      Springer Proc. Math. Stat.

      Volume: 154 Pages: 235-245

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Journal Article] An l-th root of a test configuration of exponent l2016

    • Author(s)
      T. Mabuchi
    • Journal Title

      Complex Manifolds

      Volume: 3 Issue: 1 Pages: 169-185

    • DOI

      10.1515/coma-2016-0005

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-25287010, KAKENHI-PROJECT-25610012
  • [Journal Article] The Donaldson-Futaki invariant for sequences of test configurations2015

    • Author(s)
      T. Mabuchi
    • Journal Title

      Progress in Math.

      Volume: 308 Pages: 395-403

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] The Donaldson-Futaki invariant for sequences of test configurations2015

    • Author(s)
      T. Mabuchi
    • Journal Title

      Progress in Math., Birkh\"auser

      Volume: 308 Pages: 395-403

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Journal Article] The Donaldson-Futaki invariant for sequences of test configurations2015

    • Author(s)
      T. Mabuchi
    • Journal Title

      Progress in Math., Birkhaeuser

      Volume: 308 Pages: 395-403

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Journal Article] Strong K-stability and asymptotic Chow-stability2015

    • Author(s)
      T. Mabuchi and Y. Nitta
    • Journal Title

      Progress in Math., Birkhaeuser

      Volume: 308 Pages: 405-411

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Journal Article] Strong K-stability and asymptotic Chow-stability2015

    • Author(s)
      T. Mabuchi and Y. Nitta
    • Journal Title

      Progress in Math., Birkh\"auser

      Volume: 308 Pages: 405-411

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Journal Article] The Donaldson-Futaki invariant for sequences of test configurations2015

    • Author(s)
      T. Mabuchi
    • Journal Title

      Progress in Math., Birkh\"auser

      Volume: 308 Pages: 395-403

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Journal Article] Strong K-stability and asymptotic Chow-stability2014

    • Author(s)
      T. Mabuchi and Y. Nitta
    • Journal Title

      Progress in Math.

      Volume: 308 Pages: 405-411

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] The Donaldson-Futaki invariant for sequences of test configurations2014

    • Author(s)
      T. Mabuchi
    • Journal Title

      Progress in Math.

      Volume: 308 Pages: 395-403

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287011
  • [Journal Article] Relative stability and extremal metrics2014

    • Author(s)
      T. Mabuchi
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 66 Issue: 2 Pages: 535-563

    • DOI

      10.2969/jmsj/06620535

    • NAID

      130003394369

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287010, KAKENHI-PROJECT-25610012
  • [Journal Article] Relative stability and extremal metrics2014

    • Author(s)
      T. Mabuchi
    • Journal Title

      J. Math. Soc. Japan

      Volume: 66 Pages: 535-563

    • NAID

      130003394369

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] Relative stability and extremal metrics2013

    • Author(s)
      T. Mabuchi
    • Journal Title

      J. Math. Soc. Japan

      Volume: 掲載確定

    • NAID

      130003394369

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] New examples of Sasaki-Einstein manifolds2013

    • Author(s)
      T. Mabuchi and Y. Nakagawa
    • Journal Title

      Proc. London Math. Soc.

      Volume: 掲載確定 Issue: 4 Pages: 703-780

    • DOI

      10.1112/plms/pds051

    • NAID

      130005562143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008, KAKENHI-PROJECT-23340029, KAKENHI-PROJECT-24540069
  • [Journal Article] New examples of Sasaki-Einstein manifolds2013

    • Author(s)
      T.Mabuchi and Y.Nakagawa
    • Journal Title

      Tohoku Math. J

      Volume: 65 Pages: 243-252

    • NAID

      130005562143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287011
  • [Journal Article] NEW EXAMPLES OF SASAKI-EINSTEIN MANIFOLDS2013

    • Author(s)
      T.Mabuchi and Y.Nakagawa
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 65 Issue: 2 Pages: 243-252

    • DOI

      10.2748/tmj/1372182724

    • NAID

      130005562143

    • ISSN
      0040-8735, 2186-585X
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005, KAKENHI-PROJECT-25287010, KAKENHI-PROJECT-25610012
  • [Journal Article] New examples of Sasaki-Einstein manifolds2013

    • Author(s)
      T. Mabuchi and Y. Nakagawa
    • Journal Title

      Tohoku Math. J.

      Volume: 65 Pages: 159-311

    • NAID

      130005562143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] Asymptotics of polybalanced metrics under relative stability constraints2011

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math.

      Volume: 48 Pages: 845-856

    • NAID

      120005986544

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] Asymptotics of polybalanced balanced metrics under relative stability constraints2011

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J. Math.

      Volume: 48 Pages: 845-856

    • URL

      http://projecteuclid.ojm/1317044950

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] Asymptotics of polybalanced metrics under relative stability constraints2011

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math.

      Volume: 48 Pages: 845-856

    • NAID

      120005986544

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Journal Article] Asymptotics of polybalanced metrics under relative stability constraints2011

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math.to appear 48 to appear

    • NAID

      120005986544

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] Asymptotics of polybalanced metrics under relative stability constraints2011

    • Author(s)
      T. Mabuchi
    • Journal Title

      Osaka J. Math.

      Volume: 48 Pages: 845-856

    • NAID

      120005986544

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II2009

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Osaka Journal of Mathematics vol.46

      Pages: 115-139

    • NAID

      120005986685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340028
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds II2009

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J. Math.

      Volume: 46 Pages: 115-139

    • NAID

      120005986685

    • URL

      http://projecteuclid.ojm/1235574041

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds2009

    • Author(s)
      Mabuchi T.
    • Journal Title

      Osaka J. Math

      Volume: 46 Pages: 115-139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340014
  • [Journal Article] An energy-theoretic apprcech to the Hitchin-Kobayashi correspondence for manifolds, II2009

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 46

      Pages: 115-139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] An energy-thoeretic approach to the Hifchin-kobayaski correspendence for manifotds, #2009

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 46

      Pages: 115-139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds II2009

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 46

      Pages: 115-139

    • NAID

      120005986685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayushicorrespondence for manifolds, II2009

    • Author(s)
      T. Mabuchi
    • Journal Title

      Osaka J. Math 46

      Pages: 115-139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654011
  • [Journal Article] An energy theoretic approach to the Kobayashi-Hitchin correspondence to for manifolds, II.2009

    • Author(s)
      T. Mabuchi
    • Journal Title

      Osaka Journal of Mathematics 46(To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340017
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II2009

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Osaka J.Math. 46

      Pages: 115-139

    • NAID

      120005986685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Chow stability and Hilbert stability in Mumford's geome tric invariant theory2008

    • Author(s)
      T. Mabuchi
    • Journal Title

      Osaka Journal of Mathematics 45

      Pages: 833-846

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340017
  • [Journal Article] An affine sphere equation associated to Enistein toric surfaces2008

    • Author(s)
      T. Mabuchi
    • Journal Title

      ICCM2007, Hangzhou, Higher Educ. Press vol.I

      Pages: 206-215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An affine sphere equation associated to Einstein toric surfaces2008

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

      4th ICCM 2007, Hangzhou, Higher educ. Press & Internat I(Press)

      Pages: 206-215

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Chow-stability and Hilbert-stability in munford's Geometric Invariant Theory2008

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 45

      Pages: 833-846

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] Chow-stability and Hilbertstability in Mumford's Geometric invariant theory2008

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 45

      Pages: 833-846

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] An affine sphere equation assaciated to Einstein toric surfaces2008

    • Author(s)
      T. Mabuchi
    • Journal Title

      ICCM2007, Hang zhou, Higher Educ, Press vol.I

      Pages: 206-215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654011
  • [Journal Article] Asymptotic structures in the geometry of stability and extremal metrics, in "Handbook of Geom.Anal.No.1" Internat.Press2008

    • Author(s)
      T.Mabuchi
    • Journal Title

      Adv.Lect.in Math. 7

      Pages: 277-300

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Journal Article] Chow-stability and Hilbert stability in Munford's geometric invariant theory2008

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Osaka Journal of Mathematics vol.45

      Pages: 833-846

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340028
  • [Journal Article] Chow-stability and Hilbert-stability in Mumford's geometric invariant theory2008

    • Author(s)
      Mabuchi T.
    • Journal Title

      Osaka J. Math

      Volume: 45 Pages: 833-846

    • NAID

      120004841938

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340014
  • [Journal Article] Chow-stability and Hilbert-stability in Mumford's Geometric Invariant Theory2008

    • Author(s)
      T. mabuchi
    • Journal Title

      Osaka J. Math. 45

      Pages: 833-846

    • NAID

      120004841938

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654011
  • [Journal Article] An affine sphere equation associated to Einstein toric surfaces2008

    • Author(s)
      T. Mabuchi
    • Journal Title

      4th ICCM 2007, Hangzhou, Higher Educ. Press & Internat. Press Vol. I

      Pages: 206-215

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] "Asymptotic structures in the geometry of stability and external metrics, " Handbook of geometric analysis2008

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Advanced Lectures in Mathematics vol.7,no.1

      Pages: 277-300

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340028
  • [Journal Article] Chow-Stability and Hilbert-Stability in Mumford's Geometric Invariant Theory2008

    • Author(s)
      T. Mabuchi
    • Journal Title

      Osaka J. Math 43

      Pages: 866-846

    • NAID

      120004841938

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] An affine sphere equation associated to Einstein toric surfaces2008

    • Author(s)
      T.Mabuchi
    • Journal Title

      Proc.4th ICCM, 2007, Hangzhou 1

      Pages: 206-215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Proc. ICM, Madrid, 2

      Pages: 813-826

    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Extremal metrics and stabilities on polarized manifolds2006

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

      ICM proceedings (Madrid 2006) (to appear)

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Extromal metrics and stabilities on polarized manifolds2006

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      ICM 2006, European Mathematical Society vol.2

      Pages: 813-826

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      T.Mabuchi
    • Journal Title

      International Congress of Mathematicians (To appear)

    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] Extremal metrics and stabilities on polanized manifolds2006

    • Author(s)
      Toshiki MABUCHI
    • Journal Title

      ICM 2006, European Mathematical Society vol.2

      Pages: 813-826

    • Data Source
      KAKENHI-PROJECT-18654011
  • [Journal Article] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      T. Mabuchi
    • Journal Title

      ICM2606, Madrid, European Math. Soc. Vol. II

      Pages: 813-826

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      European Math. Soc. Zurich vol.2

      Pages: 813-816

    • Data Source
      KAKENHI-PROJECT-18340028
  • [Journal Article] Extremal metrics and stabilities on polarized manifolds2006

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

      ICM2006, Madrid, European Math. Soc., 2006 Vol.II

      Pages: 813-826

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy-theoetic approach to the Hitchin-Kobayashi correspondence I2005

    • Author(s)
      T.Mabuchi
    • Journal Title

      Inventiones.math. 2159・2

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-15654010
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I2005

    • Author(s)
      T. Mabuchi
    • Journal Title

      Inventiones Math. 159

      Pages: 225-243

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II2005

    • Author(s)
      T.Mabuchi
    • Journal Title

      Invent. Math. 159

      Pages: 225-243

    • NAID

      120005986685

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds I2005

    • Author(s)
      T. Mabuchi
    • Journal Title

      Invent.Math. 159

      Pages: 225-243

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I2005

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

      Inventions Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II2005

    • Author(s)
      T.Mabuchi
    • Journal Title

      Invent.Math. 159

      Pages: 225-243

    • NAID

      120005986685

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I2005

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

      Inventiones Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I2005

    • Author(s)
      Mabuchi T.
    • Journal Title

      Invent. Math. 159

      Pages: 225-243

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I2005

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Invent.Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kohayashi correspondence for manifolds, I2005

    • Author(s)
      T.Mabuchi
    • Journal Title

      Invent.Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-17104001
  • [Journal Article] An energy theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I2005

    • Author(s)
      T.Mabuchi
    • Journal Title

      Inventiones math. 159

      Pages: 225-243

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340022
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds2005

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

      Inventiones Math 159

      Pages: 225-243

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy-theoretic Approach to the Hitchi-Kobayachi ・・・・I2005

    • Author(s)
      M.Mabuchi
    • Journal Title

      Invent.Math 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-15540070
  • [Journal Article] An energy theoretic approach to Kobayashi-Hitchin correspondence I2005

    • Author(s)
      T.Mabuchi
    • Journal Title

      Inventiones math. 159・2

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-15340022
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayshi correspondence for manifolds, I2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Inventiones Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-15654010
  • [Journal Article] Stability of extremal Kahler manifolds2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 41

      Pages: 563-582

    • NAID

      120005986921

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340022
  • [Journal Article] Uniqueness of extremal Kahler metrics for an integral Kahler class2004

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

      Internat.J.Math. 15

      Pages: 531-546

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy theoretic approach To the Kobayashi-Hitchin correspondence For manifolds I2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Invent Math. 159

      Pages: 225-243

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540070
  • [Journal Article] Stability of extremal Kaehler manifolds2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 41

      Pages: 563-582

    • Data Source
      KAKENHI-PROJECT-15340022
  • [Journal Article] An obstruction to asymptotic semistability and approximate critical metrics2004

    • Author(s)
      Mabuchi T.
    • Journal Title

      Osaka J. Math. 41

      Pages: 463-472

    • NAID

      120004843445

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Uniquness of extremal K"ahler metrics for an integral K"ahler class2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      International Journal of Math. 15, No.6

      Pages: 531-546

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540070
  • [Journal Article] Stability of extremal Kabler manifolds2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 41

      Pages: 563-582

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340022
  • [Journal Article] Uniqueness of extremal Kahler metrics for an integral Kahler class2004

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Internat.J.Math. 15

      Pages: 531-546

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Inventiones Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-15340022
  • [Journal Article] An obstruction to asymptotic semistability and approximate critical metrics2004

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

      Osaka J.Math. 41

      Pages: 463-472

    • NAID

      120004843445

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Uniqueness of extremal Kaehler metrics for an integral Kaehler class2004

    • Author(s)
      T. Mabuchi
    • Journal Title

      Internat. J. Math. 15

      Pages: 531-546

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Uniquness of extremal K"abler metrics for an integral K"ahler class2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      International Journal of Math. 15, No.6

      Pages: 531-546

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540070
  • [Journal Article] Stability of extremal Kaehler manifolds2004

    • Author(s)
      T. Mabuchi
    • Journal Title

      Osaka J. Math. 41

      Pages: 563-582

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Invent.Math. 159

      Pages: 225-243

    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] Stability of extremal Kahler manifolds2004

    • Author(s)
      Toshiki Mabuchi
    • Journal Title

      Osaka J.Math. 41

      Pages: 563-582

    • NAID

      120005986921

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] An energy theoretic approach to the Kobayashi-Hitchin correspondence for manifold I2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Invent.Math 159

      Pages: 225-243

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540070
  • [Journal Article] Stability of extremal Kahler manifolds2004

    • Author(s)
      Mabuchi T.
    • Journal Title

      Osaka J. Math. 41

      Pages: 563-582

    • NAID

      120005986921

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Stability of extremal Kaehler manifolds2004

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math. 41

      Pages: 563-582

    • Data Source
      KAKENHI-PROJECT-15654010
  • [Journal Article] Stability of extremal Kaehler manifolds2004

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

      Osaka J. Math 41

      Pages: 563-582

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Uniqueness of extremal Kaehler metrics for an integral Kaehler class2004

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

      Internat. J. Math 15

      Pages: 531-546

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Stability of extremal Kahler manifolds2004

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

      Osaka J.Math. 41

      Pages: 563-582

    • NAID

      120005986921

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Multiplier Hermitan structures on Kahler manifolds2003

    • Author(s)
      Mabuchi T.
    • Journal Title

      Nagoya Math. J. 170

      Pages: 73-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Multiplier Hermitian structures on Kahler manifolds2003

    • Author(s)
      Mabuchi T.
    • Journal Title

      Nagoya Math. J. 170

      Pages: 73-115

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Asymptotics of polybalanced metrics under relative stability constraints

    • Author(s)
      T.Mabuchi
    • Journal Title

      Osaka J.Math.

    • NAID

      120005986544

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] A generalization of the Deligne-Fujiki-Ueno injectivity for morphisms of compact complex manifolds2023

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      Calabi 100, USTC, 2023 Symposium on Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Presentation] An analogue of the Deligne-Fujiki-Ueno injectivity and its application2023

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      Pacific Rim Complex & Symplectic Geometry Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Presentation] The degeneracy of the Hodge spectral sequence for manifolds of class C; a generalization of Fujiki's idea2022

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      The 28th Symposium on Complex Geometry (Kanazawa)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Presentation] Natural limits for sequences of pseudonormed graded algebras2019

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      The 5th Japan-China Geometry Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Presentation] A natural compactification of the moduli space of pseudo-normed graded rings2019

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      The 25-th Symposium on Complex Geometry (Kanazawa) 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Presentation] Stabilities in the existence problem of extremal metrics2019

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      Global Aspects of Projective and Kaehler Geometry, Tsinghua Sanya International Mathematics Forum
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] Stabilities in the existence problem of extremal metrics2019

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      Global Aspects of Projective and Kaehler Geometry, Tsinghua Sanya International Mathematics Forum
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03277
  • [Presentation] Extremal Kaehler versions of the Yau-Tian-Donaldson Conjecture2018

    • Author(s)
      T. Mabuchi
    • Organizer
      Modern Mathematics Lecture Series, YMSC, Tsinghua University
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] Polybalanced metrics associated to extremal Kaehler metrics2016

    • Author(s)
      T. Mabuchi
    • Organizer
      Complex Geometry Conference (in honor of Prof. Mok's 60th birthday)
    • Place of Presentation
      KIAS, Seoul
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Presentation] Polybalanced metrics associated to extremal Kaehler metrics2016

    • Author(s)
      T. Mabuchi
    • Organizer
      Complex Geometry Conference (in honor of Prof. Mok's 60th birthday)
    • Place of Presentation
      KIAS, Seoul
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] Strong K-stability for general polarizations2015

    • Author(s)
      T. Mabuchi
    • Organizer
      Recent Advances in K\"ahler Geometry
    • Place of Presentation
      Vanderbilt University
    • Year and Date
      2015-05-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Presentation] Strong K-stability for general polarizations2015

    • Author(s)
      T. Mabuchi
    • Organizer
      Recent Advances in K\"ahler Geometry
    • Place of Presentation
      Vanderbilt University
    • Year and Date
      2015-05-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] K-stability and strong K-stability2014

    • Author(s)
      T. Mabuchi
    • Organizer
      Complex Geometry and Algebraic Geometry
    • Place of Presentation
      Beijing International Center for Mathematical Research
    • Year and Date
      2014-07-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Presentation] K-stability and strong K-stability2014

    • Author(s)
      T. Mabuchi
    • Organizer
      Complex Geometry and Algebraic Geometry
    • Place of Presentation
      Beijing International Center for Mathematical Research
    • Year and Date
      2014-07-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] The Donaldson-Tian-Yau conjecture for extremal metrics2013

    • Author(s)
      T. Mabuchi
    • Organizer
      The Asian Mathematical Conference 2013
    • Place of Presentation
      BEXCO, Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Presentation] A new version of the Donaldson-Tian-Yau conjecture for extremal metrics2013

    • Author(s)
      T. Mabuchi
    • Organizer
      Workshop "Extremal Kaehler metrics"
    • Place of Presentation
      CRM, Montreal, Canada
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Presentation] Donaldson-Tian-Yau’s conjecture for general polarization2013

    • Author(s)
      T. Mabuchi
    • Organizer
      Ricci curvature: limit spaces and Kaehler geometry
    • Place of Presentation
      ICMS, Edinburgh
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] A new version of the Donaldson-Tian-Yau conjecture for extremal metrics2013

    • Author(s)
      T. Mabuchi
    • Organizer
      Workshop "Extremal Kaehler Metrics"
    • Place of Presentation
      CRM, Montral
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] A new version of the DonaldsonTian-Yau conjecture for extremal metrics2013

    • Author(s)
      T.Mabuchi
    • Organizer
      Workshop "Extremal Kahler metrics," CRM
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2013-05-28
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] The Donaldson-Tian-Yau conjecture for extremal metrics2013

    • Author(s)
      T.Mabuchi
    • Organizer
      The Asian Mathematical Conference 2013, BEXCO
    • Place of Presentation
      釜山,韓国
    • Year and Date
      2013-07-01
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Donaldson-Tian-Yau's conjecture for general polarization2013

    • Author(s)
      T. Mabuchi
    • Organizer
      Ricci curvature: limit spaces and Kaehler geometry
    • Place of Presentation
      ICMS, Edinburgh
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610012
  • [Presentation] 多様体の小林-ヒッチン対応に関する最近の進展について2013

    • Author(s)
      満渕俊樹
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学吉田キャンパス
    • Year and Date
      2013-03-21
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] The Donaldson-Tian-Yau conjecture for extremal metrics2013

    • Author(s)
      T. Mabuchi
    • Organizer
      The Asian Mathematical Conference 2013
    • Place of Presentation
      BEXCO, Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287010
  • [Presentation] Donaldson-Tian-Yau's conjecture for general polarization2013

    • Author(s)
      T.Mabuchi
    • Organizer
      Ricci curvature: limit spaces and Kahler geometry, ICMS
    • Place of Presentation
      Edinburgh, Scotland, UK
    • Year and Date
      2013-07-12
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] A version of Donaldson-TianYau's conjecture for general polarization2012

    • Author(s)
      T.Mabuchi
    • Organizer
      Recent Developments in Kahler Geometry, IHP
    • Place of Presentation
      Paris, France
    • Year and Date
      2012-12-13
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] A version of Donaldson-Tian-Yau's conjecture for general polarization2012

    • Author(s)
      T. Mabuchi
    • Organizer
      Recent Devalopments in Kaehler Geometry
    • Place of Presentation
      IHP Paris (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Strong K-stability in Donaldson-Tian-Yau's Conjecture2012

    • Author(s)
      T. Mabuchi
    • Organizer
      第8回日中友好幾何学研究集会
    • Place of Presentation
      成都(中国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] An energy-theoretic approach to Donaldson-Tian-Yau's conjecture2012

    • Author(s)
      T. Mabuchi
    • Organizer
      多変数函数論葉山シンポジウム
    • Place of Presentation
      神奈川県葉山
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Strong K-stability in DonaldsonTian-Yau's conjecture2012

    • Author(s)
      T.Mabuchi
    • Organizer
      日中友好幾何学研究集会
    • Place of Presentation
      成都,中国
    • Year and Date
      2012-09-08
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] An energy-theoretic approach to Donaldson-Tian-Yau's conjecture2012

    • Author(s)
      T.Mabuchi
    • Organizer
      多変数函数論葉山シンポジウム
    • Place of Presentation
      湘南国際村
    • Year and Date
      2012-07-22
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Moduli space of test configurations2011

    • Author(s)
      T.Mabuchi
    • Organizer
      Differentialgeometrie im Grossen
    • Place of Presentation
      Oberwolfach(ドイツ)(招待講演)
    • Year and Date
      2011-07-06
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Moduli space of test configurations2011

    • Author(s)
      T.Mabuchi
    • Organizer
      Differentialgeometrie im grossen
    • Place of Presentation
      Oberwolfach, Germany
    • Year and Date
      2011-07-06
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] On the existence problem of extremal Kahler metrics2011

    • Author(s)
      T.Mabuchi
    • Organizer
      Workshop on extremal metrics
    • Place of Presentation
      Stony Brook University, USA.
    • Year and Date
      2011-03-24
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] On the existence problem of extremal Kahler metrics2011

    • Author(s)
      T.Mabuchi
    • Organizer
      Workshop on extremal Kahler metrics, Simons Center for Geometry and Physics
    • Place of Presentation
      Stony Brook, USA
    • Year and Date
      2011-03-24
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Precompactness of the moduli space of test configurations2011

    • Author(s)
      T.Mabuchi
    • Organizer
      Pacific Rim Conference on Complex Geometry
    • Place of Presentation
      Gyeonju(韓国)(招待講演)
    • Year and Date
      2011-08-09
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Moduli space of test configurations2011

    • Author(s)
      T. Mabuchi
    • Organizer
      Differentialgeometrie im Grossen
    • Place of Presentation
      Oberwolfach, Germany(招待講演)
    • Year and Date
      2011-07-06
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Donaldson-Tian-Yau's conjecture2010

    • Author(s)
      T.Mabuchi
    • Organizer
      International Symposium on Complex Geometry
    • Place of Presentation
      菅平プチホテルゾンタック
    • Year and Date
      2010-10-23
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Donaldson-Tian-Yaws conjecture and its extremal Kaehler version2010

    • Author(s)
      T.Mabuchi
    • Organizer
      Geometric topology and Riemannian geometry
    • Place of Presentation
      Bangalore(インド)
    • Year and Date
      2010-08-12
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Donaldson-Tian-Yau's conjecture and its extremal Kahler version2010

    • Author(s)
      T.Mabuchi
    • Organizer
      ICM satellite conference (Geometric topology and Riemannian geometry)
    • Place of Presentation
      Bangalore, India.
    • Year and Date
      2010-08-12
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Donaldson-Tian-Yau's conjecture and its extremal Kahler version2010

    • Author(s)
      T.Mabuchi
    • Organizer
      Geometric Topology and Riemannian Geometry
    • Place of Presentation
      Bangalore, India
    • Year and Date
      2010-08-12
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Donaldson-Tian-Yau's conjecture and its extremal Kaehler version2010

    • Author(s)
      T.Mabuchi
    • Organizer
      ICM satellite conference (Geometric topology and Riemannian geometry, Bangalore)
    • Place of Presentation
      Bangalore(インド)(招待講演)
    • Year and Date
      2010-08-12
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] An extremal Kahler version of Donaldson-Tian-Yau's conjecture2010

    • Author(s)
      T.Mabuchi
    • Organizer
      PRIMA Conference on Geometric Analysis
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      2010-07-30
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Kaehler-Einstein幾何の問題、複素幾何学の諸問題2010

    • Author(s)
      満渕俊樹
    • Place of Presentation
      京大数理研
    • Year and Date
      2010-09-09
    • Data Source
      KAKENHI-PROJECT-19340014
  • [Presentation] An extremal Kaehler version of Donaldson-Tian-Yaws conjecture2010

    • Author(s)
      T.Mabuchi
    • Organizer
      PRIMA conference on Geometric Analysis
    • Place of Presentation
      Univ.British Columbia, Vancouver(カナダ)
    • Year and Date
      2010-07-30
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Donaldson-Tian-Yaws conjecture2010

    • Author(s)
      T.Mabuchi
    • Organizer
      16th International Symposium on Complex Geometry
    • Place of Presentation
      菅平高原
    • Year and Date
      2010-10-23
    • Data Source
      KAKENHI-PROJECT-22244008
  • [Presentation] Extremal metrics, K-stability and asymptotic Chow stability2009

    • Author(s)
      T.Mabuchi
    • Organizer
      環太平洋複素幾何シンポジウム
    • Place of Presentation
      成都,中国
    • Year and Date
      2009-08-03
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Stabitity and extremal metrics for projoctive bundles2009

    • Author(s)
      T.Mabuchi
    • Organizer
      1st PRIMA Congress
    • Place of Presentation
      シドニー・ホストラリア University of New South Wates
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Stability and extremal metrics for projective bundles2009

    • Author(s)
      T.Mabuchi
    • Organizer
      1^<st> PRIMA Congress
    • Place of Presentation
      University of New South Wales, Sydney.
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] K-stability and asymptotic Chow stability2009

    • Author(s)
      T.Mabuchi
    • Organizer
      Invariants in Algebraic Geometry
    • Place of Presentation
      宮岡還暦記念,東京大学
    • Year and Date
      2009-11-10
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Uniqueness problem for Sasaki-Einstein metric (survey talk)2009

    • Author(s)
      T.Mabuchi
    • Organizer
      IndAM workshop on Kahler and Sasakian Geometry
    • Place of Presentation
      Rome, Italy
    • Year and Date
      2009-06-18
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] K-stability and asymptotic Chow stability for polarized algebraic manifolds2009

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      Northwestern Conference in honor of Simon Donaldson
    • Place of Presentation
      Northwestern University,(米国,エヴァンストン)
    • Year and Date
      2009-10-25
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Stability and extremal metrics for projective bundles2009

    • Author(s)
      T.Mabuchi
    • Organizer
      PRIMA Congress
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Kahler-Ricci solitons in Sasakian geometry2008

    • Author(s)
      T. Mabuchi
    • Organizer
      UK-Japan Winter School
    • Place of Presentation
      University of Warwick
    • Year and Date
      2008-01-09
    • Data Source
      KAKENHI-PROJECT-18654011
  • [Presentation] Characterization of K-polystability by an asymptotic expansion of the Chow norm2008

    • Author(s)
      T.Mabuchi
    • Organizer
      Perspectives in Geometric Analysis
    • Place of Presentation
      Beijing International Research Center.
    • Year and Date
      2008-10-31
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] K-polystability for CSC polarization2008

    • Author(s)
      T.Mabuchi
    • Organizer
      Ricci curvature and complex geometry
    • Place of Presentation
      Inst.Henri Poincare, Paris.
    • Year and Date
      2008-06-06
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Kahler-Ricci solitons in Sasakian geometry2008

    • Author(s)
      T.Mabuchi
    • Organizer
      UK-Japan Winter School "Algebraic and Symplectic Geometry"
    • Place of Presentation
      WarWick,U.K
    • Year and Date
      2008-01-09
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Kahler- Ricci solitons in Sasakian geometry2008

    • Author(s)
      T. Mabuchi
    • Organizer
      UK-Japan Winter School
    • Place of Presentation
      University of Warwick
    • Year and Date
      2008-01-09
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Presentation] K-polystability for CSC polarization2008

    • Author(s)
      T.Mabuchi
    • Organizer
      Ricci curvature and complex geometry
    • Place of Presentation
      Institut Henri Poincare, Paris
    • Year and Date
      2008-06-06
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] K-polystability for CSC polarization2008

    • Author(s)
      T. Mabuchi
    • Organizer
      Ricci curvature and complex geometry
    • Place of Presentation
      Institut Henri Poincare, Paris
    • Year and Date
      2008-06-06
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] K-polystability for CSC polarization2008

    • Author(s)
      T. Mabuchi
    • Organizer
      Ricl curvature and complexgeometry
    • Place of Presentation
      Institut Henri Poincarey Paris
    • Year and Date
      2008-06-06
    • Data Source
      KAKENHI-PROJECT-18654011
  • [Presentation] An affine sphere equation associated to Einstein toric surfaces2007

    • Author(s)
      T. Mabuchi
    • Organizer
      4th ICCM2007, Hangzhou
    • Place of Presentation
      Zhejiang University, Hangzhou
    • Year and Date
      2007-12-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Presentation] An affine sphere equation associated to Einstein toric surfaces2007

    • Author(s)
      T.Mabuchi
    • Organizer
      ICCM
    • Place of Presentation
      Hangzhou、中国
    • Year and Date
      2007-12-19
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] An affine sphere equation associated to Einstein toric surfaces2007

    • Author(s)
      T., Mabuchi
    • Organizer
      4th ICCM2006(The Fourth International Congress of Chinese Mathematicians)
    • Place of Presentation
      Zhejiang University, Hangzhou
    • Year and Date
      2007-12-09
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Presentation] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      T. Mabuchi
    • Organizer
      ICM 2006
    • Place of Presentation
      Marid Spain
    • Year and Date
      2006-08-29
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      T., Mabuchi
    • Organizer
      ICM2006(International Congress of Mathematicians Madrid 2006)
    • Place of Presentation
      Palacio Municipal de Congress, Madrid
    • Year and Date
      2006-08-29
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Presentation] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      T. Mabuchi
    • Organizer
      ICM2006, Madrid(2006年度世界数学者会議)
    • Place of Presentation
      Palacio Municipal de Congresos, Madrid
    • Year and Date
      2006-08-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Presentation] Extremal metrics and stabilities on polarized manifolds2006

    • Author(s)
      Toshiki Mabuchi
    • Organizer
      International Congress of Mathematicians
    • Place of Presentation
      Madrid
    • Year and Date
      2006-08-29
    • Data Source
      KAKENHI-PROJECT-18340028
  • [Presentation] An energy-theoretic approach to Donaldson-Tian-Yau's conjecture

    • Author(s)
      T. Mabuchi
    • Organizer
      HAYAMA Symposium on Complex Analysis in Several Variables XVI
    • Place of Presentation
      湘南国際村
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] A version of Donaldson-Tian-Yau's conjecture for general polarization

    • Author(s)
      T. Mabuchi
    • Organizer
      Recent Developments in Kaehler Geometry
    • Place of Presentation
      Institut Henri Poincare, Paris
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244005
  • [Presentation] Strong K-stability in Donaldson-Tian-Yau's Conjecture

    • Author(s)
      T. Mabuchi
    • Organizer
      第8回日中友好幾何学研究集会
    • Place of Presentation
      四川大学,成都
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244005
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  • 158.  薮田 公三 (30004435)
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    # of Collaborated Products: 0 results
  • 159.  稲場 道明 (80359934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 160.  糟谷 久矢 (80712611)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 161.  MOUROUGANE Christophe
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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