sakane yusuke 坂根由昌

… Alternative Names

坂根由昌サカネユウスケ

SAKANE Yusuke 坂根由昌

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Researcher Number	00089872
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院情報科学研究科, 招へい教授 2025: 大阪大学, その他部局等, 名誉教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 大阪大学, その他部局等, 名誉教授 2013 – 2018: 大阪大学, その他部局等, 名誉教授 2009 – 2011: Osaka University, 名誉教授 2007 – 2008: 大阪大学, 大学院・情報科学研究科, 教授 2005 – 2006: 大阪大学, 大学院情報科学研究科, 教授 … More 2002 – 2004: 大阪大学, 大学院・情報科学研究科, 教授 2001: 大阪大学, 大学院・理学研究科, 教授 2000: 九州大学, 大学院・理学研究科, 教授 1996 – 1999: Graduate School of Sciences, Osaka Univ., Prof., 大学院・理学研究科, 教授 1994 – 1995: 大阪大学, 理学部, 教授 1988 – 1993: 大阪大学, 理学部, 助教授 1986: 大阪大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related / 代数学・幾何学 Except Principal Investigator Geometry / 代数学・幾何学 / Algebra / Global analysis / 解析学 / Geometry
Keywords	Principal Investigator アインシュタイン計量 / 一般化された旗多様体 / コンパクト等質空間 / グレブナー基底 / リッチテンソル / コンパクト単純リー群 / 等質アインシュタイン計量 / コンパクトリー群 / リッチ曲率 / モジュライ空間 … More / 極小曲面 / 調和写像 / Stiefel 多様体 / 一般化されたWallack空間 / 幾何学 / 一般化されたWallach空間 / Stiefel多様体 / リー群上の左不変計量のなす空間 / 等質アインシュタイン多様体 / 不変なアインシュタイン計量 / 可解多様体 / アインシュタイン多様体 / Einstein-like metrics / 旗多様体 / Bergman kernel / Groebner bases / Einstein metric / moduli space / Kahler manifold / Eells-Sampson's equation / semi-stablity / n-end catenoids / CR構造 / ツイスター空間 / extremal kahler計量 / 超ケーラー多様体 / 渦糸の方程式 / 半線型波動方程式 / 平均曲率 / スカラー曲率 / 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 / ベルグマン核 / グレブナ-基底 / ケーラー多様体 / Eells-Sampson方程式 / 準安定性 / n端懸垂面 / Hessian manifolds / Kahler-Liouville manifolds / quiver varietie / Nevanlinna theory / Vojta conjecture / value distribution theory / moduli space of harmonic maps / harmonic map / リューヴイル多様体 / アファイン多様体 / Hessian多様体 / 反自己双対空間 / ケージ理論 / hyperkahler多様体 / 中心アファイン的変形 / ALE空間 / ヤンミルズ接続 / フアノ多様体 / 平坦な共形構造 / ヘシアン多様体 / ケーラー・リューヴィル多様体 / 箙多様体 / ネバリナ理論 / Vojta予想 / 値分布論 / 調和写像のモジュライ空間 / 等質ケーラー計量 / リーマンサブマーション / 例外型のコンパクト単純リー群 / コンパクトリー群上の左不変計量 / 曲率平坦擬リーマン計量 / リッチ平坦 / 擬リーマン可解多様体 / 非コンパクス型対弥空間 / 擬ケーラー・アインシュタイン計量 / リッチ形式 / 擬ケーラー多様体 / 余次元1の作用 / 非コンパクト型対称空間 / 擬ケーラー構造 / 可解リー群 / コンパクトリー群上のアインシュタイン計量 / 擬ケーラー計量 / アインシュタイン可解多様体 / リー群上の左不変リーマン計量 / 接触構造 / シンプレクティック構造 / naturally reductive / Kuluza-Klein ansatz / 主バンドル / リーマニアンサブマーション / 左不変計量 / コンパクト・リー群 / ケ-ラ-Cー空間 / 等質空間 / 主ト-ラス束 / リ-マニアンサブマ-ション … More Except Principal Investigator 調和写像 / 可積分系 / Einstein metric / 群作用 / アインシュタイン計量 / 複素多様体 / 自己双対多様体 / ツイスター空間 / 平均曲率一定曲面 / ケーラー多様体 / リーマン多様体 / リッチ曲率 / 超幾何微分方程式 / algebraic dimension / complex manifold / group action / twistor space / self-dual manifold / 代数次元 / line congruence / integrable system / projective submanifold / contact geometry / hypergeometric system / affine differential geometry / projective differential geometry / 線叢 / 射影部分多様体 / geometric structure / スカラー曲率 / モジュライ空間 / 平均曲率 / 連分数展開 / 熱核 / 結び目 / リ-マン多様体 / シンプレクティック幾何学 / Riemann-Roch theorem / Einstein-Kaehler metric / manifold of dimension 3 or 4 / Hecke algebra / fundamental group / algebraic surface of general type / homology plane / 3-dimensional cancellation problem / 代数群の作用 / ベクトル場 / コンパクト・ケーラー・アインシュタイン多様体 / リーマン多様体上の測地線 / 対称空間上の球関数 / 絡み目の不変量 / K3曲面の非ケーラー的退化 / 位相的可縮な代数曲面 / Einstein-Kaehler計量 / 対数的エンリケス曲面 / ネタ-の不等式 / 位相的可縮曲面 / リ-マン・ロッホの定理 / Einstein-Kaehler / 3、4次元多様体 / ヘッケ環 / 基本群 / 一般型代数曲面 / ホモロジ-平面 / 3次元消去問題 / Hypergeometric equations / Monodromy / The Painleve equations / 超幾何函数 / 超幾何方程式 / モノドロミ / パンルヴェ方程式 / mathematical physics / vertex algebra / vertex operator / representation theory / algebraic geometry / conformal field theory / リーマン面 / モジュラー変換 / 共形ブロック / 数理物理 / 数理物理学 / 頂点作用素代数 / 頂点作用素 / 表現論 / 代数幾何 / 共形場理論 / hyperkahler manifold / Doady space / scalar curvature / Einstein-Weyl幾何 / ハイパーケーラー多様体 / Douady空間 / mean curvature surface / harmonic map constant / hypergeometric differential equation / minimal surface / 極小曲面 / 幾何構造 / elliptic fiber space / toric surface / Joyce conjecture / ハイパーケーラー計量 / 自己双対計量 / Twistor空間 / 楕円ファイバー空間 / toric曲面 / Joyce予想 / twistor空間 / projective invariants / Hesse geometry / projective invariant / アファイン幾何学 / 射影不変量 / 射影微分幾何学 / 接触幾何学 / 超幾何系 / stability / constant mean curvature / 時空間図形 / 安定性 / 安定解 / Schrodinger operators / Greobner basis / Numerical analysis / Inverse problem / Scattering / ランダム媒質 / 非適切問題 / 正則化 / グラフィク / Einstein計算 / シュレ-ディンガー作用素 / Einstein計量 / Greobner base / 数値解析 / 逆問題 / 散乱 / 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 / アレクサンドロフ空間 / 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 / Hamiltonian / Kaehler manifold / Gauge theory / Mean curvature / Spectrum / Harmonic mapping / Riemannian manifold / 量子力学 / ゲ-ジ理論 / スベクトラム / 球面定理 / 交叉コホモロジ- / ハミルトニアン / ゲージ理論 / スペクトラム / スーパーシンギュラー素点 / モジュラー方程式 / 虚2次体 / 虚数乗法論 / ジーゲル関数 / クロネッカー極限公式 / KdV方程式 / K一群 / 幾何学的不変量 / 双エルミート構造 / 反自己双対多様体 / 井上曲面 / VII型曲面 / differential equation / Lie algebra / Lie group / Sophus Lie / 等周問題 / Schwarz対称比 / Steiner対称比 / 正則計量 / 線型計画法 / 準代数多様体 / 放物束 / エルミート・アインシュタイン計量 / ベクトル束 / レゾルベント収束 / スペクトル距離 / ディリクレ空間 / ホモロジー曲面 / 非完備代数曲面 / ジャコビアン予想 / 等分点の体 / ガロワ群 / 超楕円曲線 / ヤコビ多様体 / アーベル多様体 / アルバネーゼトーラス / 調和関数 / コンパクト化 / スペクトル幾何 / YangーBaxter方程式 / Alexander多項式 / 組み紐群 / ケ-ラ-アインシュタイン多様体 / Sーコボルディズム / 誘導定理 / ホワイトヘッド群 / 変換群 / ス-パ-微分方程式系 / スピン表現 / ケ-ラ-・アインスタイン計量 / 多様体 Less

Study of existence and non-existence of invariant Einstein metrics on compact homogenous spacesPrincipal Investigator
- Principal Investigator
  
  坂根由昌
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
Study of invariant Einstein metics on compact homogeneous spacesPrincipal Investigator
- Principal Investigator
  
  sakane yusuke
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Einstein metrics on compact homogeneous spacesPrincipal Investigator
- Principal Investigator
  
  SAKANE Yusuke
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Homogeneous Einstein manifoldsPrincipal Investigator
- Principal Investigator
  
  SKANE Yusuke
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
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
可解多様体の諸構造の研究Principal Investigator
- Principal Investigator
  
  坂根由昌
- Project Period (FY)
  2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
The Painleve functions with solvable monodromy
- Principal Investigator
  
  OHYAMA Yosuke
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Representation theory of vertex operator algobras and contormal tield theory
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Construction of submanifolds via integrable systems
- Principal Investigator
  
  SASAKI Takeshi
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kobe 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
ソフィス・リー没後百年記念国際研究集会の企画調査
- Principal Investigator
  
  森本徹
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University of Education
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
Global analysis of curves and surfaces
- Principal Investigator
  
  KOISO Norihito
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Study of geometric structures on projective submanifolds in view of differential equations
- Principal Investigator
  
  SAKAI Takeshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
幾何学的函数論への対称化法の応用
- Principal Investigator
  
  小磯深幸
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Research on geometric invariants and moduli spacesPrincipal Investigator
- 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
代数多様体の構造と位相の研究ジャコビアン予想の解決に向けて
- Principal Investigator
  
  宮西正宣
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
熱核とリーマン多様体の収束
- Principal Investigator
  
  加須栄篤
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
ケーラー多様体上のベクトル束の研究
- Principal Investigator
  
  藤木明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
準代数多様体分類の計画法への応用
- Principal Investigator
  
  角田秀一郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Geometric structures on manifolds and global variation problemsPrincipal Investigator
- Principal Investigator
  
  SAKANE Yusuke
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
INVERSE PROBLEMS OF SCATTERING : MATHEMATICS,NUMERICAL ANALYSIS AND GRAPHICS
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University
主バンドル上のアインシュタイン計量の研究Principal Investigator
- Principal Investigator
  
  坂根由昌
- 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
リーマン多様体の崩壊理論とスペクトル幾何
- Principal Investigator
  
  加須栄篤
- 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
アーベル多様体の整数論
- Principal Investigator
  
  山本芳彦
- 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
アインシュタイン多様体の研究Principal Investigator
- Principal Investigator
  
  坂根由昌
- 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
GEOMETRY OF MANIFOLDS AND RELATED SUBJECTS
- Principal Investigator
  
  SEKIGAWA Kouei
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  NIIGATA UNIVERSITY
同変Sーコボルディズム理論と誘導定理
- Principal Investigator
  
  KAWAKUBO Katsuo
- 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
多様体の多面的研究
- Principal Investigator
  
  MURAKAMI Shingo
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
クロネッカー極限公式と虚数乗法論
- Principal Investigator
  
  山本芳彦
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
Problems surrounding manifolds
- Principal Investigator
  
  MIYANISHI Masayoshi
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
幾何学的不変量
- Principal Investigator
  
  尾関英樹
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University

[Book] Current Developments in Differential Geometry and its Related Fields2015
- Author(s)
  A. Arvanitoyeorgos, Y. Sakane and M. Statha
- Total Pages
  256
- Publisher
  World Sci. Publ.
- Data Source
  KAKENHI-PROJECT-25400071
[Book] Prospects of Differential Geometry and Its Related Fields: Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields2013
- Author(s)
  A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane
- Total Pages
  228
- Publisher
  World Scientific Pub Co Inc
- Data Source
  KAKENHI-PROJECT-25400071
[Book] Recent Progress in Differential Geometry and Its Related Fields, Proceedings of the 2^<nd> International Colloquium on Differential Geometry and Its Related Fields, Chapter 1, Homogeneous Einstein Metrics on Generalized Flag Manifolds Sp(n)/(U(p)xU(q)xSp(n-p-q))2011
- Author(s)
  A.Arvanitoyeorgos, I.Chrysikos, Y.Sakane
- Publisher
  World Scientific Pub.Co.
- Data Source
  KAKENHI-PROJECT-21540080
[Book] Recent Progress in Differential Geometry and Its Related Fields, Proceedingsof the 2^nd International Colloquium on Differential Geometry and Its Related Fields, Chapter 1 Homogeneous Einstein Metrics on Generalized Flag Manifolds Sp(n)/(U(p) xU(q) x Sp(n2011
- Author(s)
  A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane
- Publisher
  World Scientific Pub. Co.
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] Non Naturally Reductive Einstein Metrics on the Orthogonal Group via Real Flag Manifolds2023
- Author(s)
  Arvanitoyeorgos Andreas, Sakane Yusuke, Statha Marina
- Journal Title
  
  Results in Mathematics
  
  Volume: 79 Issue: 1 Pages: 42-42
- DOI
  10.1007/s00025-023-02068-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03224
[Journal Article] Invariant Einstein metrics on SU(N) and complex Stiefel manifolds（掲載決定）2021
- Author(s)
  Arvanitoyeorgos Andreas, Sakane Yusuke, Statha Marina
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: －
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05130
[Journal Article] EINSTEIN METRICS ON SPECIAL UNITARY GROUPS SU(2n)（掲載決定）2019
- Author(s)
  Arvanitoyeorgos Andreas, Sakane Yusuke, Statha Marina
- Journal Title
  
  Recent Topics in Differential Geometry and its Related Fields, Proceedings of ICDG 2018, World Scientific
  
  Volume: － Pages: 1-23
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05130
[Journal Article] New homogeneous Einstein metrics on quaternionic Stiefel manifolds2018
- Author(s)
  Arvanitoyeorgos Andreas、Sakane Yusuke、Statha Marina
- Journal Title
  
  Advances in Geometry
  
  Volume: 18 Issue: 4 Pages: 509-524
- DOI
  10.1515/advgeom-2018-0014
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05130
[Journal Article] HOMOGENEOUS EINSTEIN METRICS ON COMPLEX STIEFEL MANIFOLDS AND SPECIAL UNITARY GROUPS2017
- Author(s)
  ARVANITOYEORGOS Andreas、SAKANE Yusuke、STATHA Marina
- Journal Title
  
  Contemporary Perspectives in Differential Geometry and its Related Fields, Proceedings of the 5th International Colloquium on Differential Geometry and its Related Fields
  
  Volume: なし Pages: 1-20
- DOI
  10.1142/9789813220911_0001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05130
[Journal Article] New Einstein metrics on the Lie group SO(n) which are not naturally reductive2015
- Author(s)
  A. Arvanitoyeorgos, Y. Sakane and M. Statha
- Journal Title
  
  Geometry, Imaging and Computing
  
  Volume: 2 Issue: 2 Pages: 77-108
- DOI
  10.4310/gic.2015.v2.n2.a1
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400071
[Journal Article] New homogeneous Einstein metrics on Stiefel manifolds2014
- Author(s)
  A. Arvanitoyeorgos, Y. Sakane and M. Statha
- Journal Title
  
  Differential Geom. Appl.
  
  Volume: 35 Pages: 2-18
- DOI
  10.1016/j.difgeo.2014.01.007
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400071
[Journal Article] The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=12014
- Author(s)
  I. Chrysikos and Y. Sakane
- Journal Title
  
  Bull. Sci. math.
  
  Volume: 138 Issue: 6 Pages: 665-692
- DOI
  10.1016/j.bulsci.2013.11.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400071
[Journal Article] Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation2013
- Author(s)
  A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane
- Journal Title
  
  Journal of Symbolic Computation
  
  Volume: 55 Pages: 59-71
- DOI
  10.1016/j.jsc.2013.03.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400071
[Journal Article] Homogeneous Einstein Metrics on Generalized Flag Manifolds with five isotropy summands2013
- Author(s)
  A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 24 Issue: 10 Pages: 1-52
- DOI
  10.1142/s0129167x13500778
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400071
[Journal Article] Einstein metrics on compact Lie groups which are not naturally reductive2012
- Author(s)
  A. Arvanitoyeorgos, K. Mori and Y. Sakane
- Journal Title
  
  Geom. Dedicata
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] Homogeneous Einstein Metrics on Generalized Flag Manifolds Sp(n)/(U(p) xU(n-q))2011
- Author(s)
  A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane
- Journal Title
  
  Diff. Geom. Appl
  
  Volume: 29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] Homogeneous Einstein Metrics on Generalized Flag Manifolds Sp(n)/(U(p)xU(n-q))2011
- Author(s)
  A.Arvanitoyeorgos, I.Chrysikos, Y.Sakane
- Journal Title
  
  Differential Geom.Appl.
  
  Volume: 29 Pages: S16-S27
- DOI
  10.1016/j.difgeo.2011.04.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] Einstein metrics on compact Lie groups which are not naturally reductive2011
- Author(s)
  A.Arvanitoyeorgos, K.Mori, Y.Sakane
- Journal Title
  
  Geom Dedicata
  
  Volume: 160 Issue: 1 Pages: 1-25
- DOI
  10.1007/s10711-011-9681-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/ U(p) xU(n-p)2010
- Author(s)
  A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane
- Journal Title
  
  Ann. Glob. Anal. Geom
  
  Volume: 38 Pages: 413-438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p)xU(n-p)2010
- Author(s)
  A.Arvanitoyeorgos, I.Chrysikos, Y.Sakane
- Journal Title
  
  Ann.Glob.Anal.Geom.
  
  Volume: 38 Pages: 413-438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540080
[Journal Article] ベジエ曲線とベジエ曲面2004
- Author(s)
  坂根由昌
- Journal Title
  
  数学 56,no.2
  
  Pages: 201-214
- Data Source
  KAKENHI-PROJECT-16540191
[Presentation] Einstein-like metrics on compact homogeneous spaces2024
- Author(s)
  坂根由昌
- Organizer
  第 2９回沼津改め静岡研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] コンパクト等質空間上の不変なアインシュタイン計量の存在・非存在について2023
- Author(s)
  坂根由昌
- Organizer
  研究集会「多様体上の微分方程式」
- Invited
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] コンパクト等質空間上のアインシュタイン計量の存在・非存在について2023
- Author(s)
  坂根由昌
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] Invariant Einstein metrics on compact simple Lie groups2023
- Author(s)
  坂根由昌
- Organizer
  7th International Colloquium on Differential Geometry and its Related Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] コンパクト等質空間上のアインシュタイン計量についてー存在あるいは非存在ー2023
- Author(s)
  坂根由昌
- Organizer
  第２８回沼津改め静岡研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] SU(N)上のnaturally reductiveでないアインシュタイン計量について2022
- Author(s)
  坂根由昌
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] Existence and non-existence of Einstein metrics on compact homogeneous manifolds2021
- Author(s)
  坂根由昌
- Organizer
  Workshop on compact homogeneous Einstein manifolds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03224
[Presentation] Homogeneous Einstein metrics on Stiefel manifolds2018
- Author(s)
  坂根由昌
- Organizer
  The 6th meeting ICDG 2018 (International Colloquium on Differential Geometry)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] コンパクト等質空間上の不変なアインシュタイン計量について2018
- Author(s)
  坂根由昌
- Organizer
  第２５回沼津改め静岡研究会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] Invariant Einstein metrics on Stiefel manifolds2018
- Author(s)
  坂根由昌
- Organizer
  The 5th workshop "Complex Geometry and Lie Groups"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] コンパクト等質空間上のアインシュタイン計量について2017
- Author(s)
  坂根由昌
- Organizer
  小磯憲史先生退職記念研究集会
- Place of Presentation
  大阪大学大学院理学研究科, 大阪府豊中市
- Year and Date
  2017-03-13
- Invited
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] コンパクト単純リー群上の不変なアインシュタイン計量について2017
- Author(s)
  坂根由昌
- Organizer
  第２４回沼津研究会
- Place of Presentation
  沼津工業高等専門学校, 静岡県沼津市
- Year and Date
  2017-03-06
- Invited
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] SU(n) 上の等質アインシュタイン計量について2017
- Author(s)
  坂根由昌
- Organizer
  日本数学会2017年度年会
- Place of Presentation
  首都大学東京, 東京都八王子市
- Year and Date
  2017-03-24
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] コンパクト単純リー群上の不変なアインシュタイン計量について2017
- Author(s)
  坂根由昌
- Organizer
  多様体上の計量と幾何構造
- Place of Presentation
  名城大学天白キャンパス, 愛知県名古屋市
- Year and Date
  2017-03-03
- Invited
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] コンパクト等質空間上のアインシュタイン計量について2017
- Author(s)
  坂根由昌
- Organizer
  山口佳三先生退職記念研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] Einstein metrics on compact homogeneous spaces2016
- Author(s)
  坂根由昌
- Organizer
  The 4th Workshop "Complex Geometry and Lie Groups"
- Place of Presentation
  奈良女子大学理学部　（奈良市北魚屋西町）
- Year and Date
  2016-03-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] Einstein metrics on compact simple Lie groups2016
- Author(s)
  坂根由昌
- Organizer
  Lie Theory and Geometry
- Place of Presentation
  Schloss Rauischholzhausen, ドイツ
- Year and Date
  2016-03-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] New homogeneous Einstein metrics on SU(N)2016
- Author(s)
  坂根由昌
- Organizer
  ICDG2016
- Place of Presentation
  Veliko Tarnovo University, Veliko Tarnovo, Bulgaria
- Year and Date
  2016-09-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05130
[Presentation] コンパクト単純リー群上の左不変なアインシュタイン計量について2015
- Author(s)
  坂根由昌
- Organizer
  第22回沼津研究会 --幾何，数理物理，そして量子論---
- Place of Presentation
  沼津工業高等専門学校, 沼津静岡
- Year and Date
  2015-03-09
- Invited
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] Einstein metrics on compact simple Lie groups2015
- Author(s)
  坂根由昌
- Organizer
  2015年度松江セミナー
- Place of Presentation
  島根大学合理工学部（松江市西川津町）
- Year and Date
  2015-12-01
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] New homogeneous Einstein metrics on compact simple Lie groups2014
- Author(s)
  坂根由昌
- Organizer
  ICDG2014
- Place of Presentation
  Veliko Tarnovo, Bulgaria
- Year and Date
  2014-09-08
- Invited
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] Some open problems on compact homogeneous Einstein manifolds2014
- Author(s)
  坂根由昌
- Organizer
  Mini-Workshop: Einstein Metrics, Ricci Solitons and Ricci Flow under Symmetry Assumptions
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach, Germany
- Year and Date
  2014-09-29
- Invited
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] Recent progress on homogeneous Einstein metrics on generalized flag manifolds2011
- Author(s)
  坂根由昌
- Organizer
  松江微分幾何学研究会2011
- Place of Presentation
  島根大学(招待講演)
- Year and Date
  2011-12-17
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] 一般化された旗多様体上の等質アインシュタイン計量2011
- Author(s)
  坂根由昌
- Organizer
  第18回沼津研究会-幾何,数理物理,そして量子論-
- Place of Presentation
  沼津工業高等専門学校
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] Recent progress on homogeneous Einstein metrics on generalized flag manifolds2011
- Author(s)
  坂根由昌
- Organizer
  松江微分幾何学研究会
- Place of Presentation
  島根大学
- Year and Date
  2011-12-17
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] Invariant Einstein metrics on generalized flag manifolds2010
- Author(s)
  Yusuke Sakane
- Organizer
  2nd meeting ICDG 2010
- Place of Presentation
  Univ. of Veliko Tarnovo
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] Invariant Einstein metrics on generalized flag manifolds2010
- Author(s)
  坂根由昌
- Organizer
  松江微分幾何学研究集会2010
- Place of Presentation
  島根大学
- Year and Date
  2010-12-11
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] Invariant Einstein metrics on generalized flag manifolds2010
- Author(s)
  坂根由昌
- Organizer
  松江微分幾何学研究集会2010
- Place of Presentation
  島根大学(招待講演)
- Year and Date
  2010-12-11
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] Invariant Einstein metrics on generalized flag manifolds2010
- Author(s)
  坂根由昌
- Organizer
  ICDG 2010
- Place of Presentation
  Univ.of Veliko Tarnovo (Bulgaria)(招待講演)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-21540080
[Presentation] New homogeneous Einstein metrics on Stiefel manifolds and compact Lie groups SO(n)
- Author(s)
  坂根由昌
- Organizer
  The 12th Conference on Differential Geometry and its Applications
- Place of Presentation
  Masaryk University Brno, Czech Republic
- Data Source
  KAKENHI-PROJECT-25400071
[Presentation] New homogeneous Einstein metrics on Stiefel manifolds and compact Lie groups SO(n)
- Author(s)
  坂根由昌
- Organizer
  広島幾何学研究集会 2013
- Place of Presentation
  広島大学大学院先端物質科学研究科（東広島市鏡山）
- Invited
- Data Source
  KAKENHI-PROJECT-25400071

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sakane yusuke 坂根 由昌

坂根 由昌 サカネ ユウスケ

SAKANE Yusuke 坂根 由昌

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Study of existence and non-existence of invariant Einstein metrics on compact homogenous spacesPrincipal Investigator

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Study of invariant Einstein metics on compact homogeneous spacesPrincipal Investigator

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Einstein metrics on compact homogeneous spacesPrincipal Investigator

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Homogeneous Einstein manifoldsPrincipal Investigator

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可解多様体の諸構造の研究Principal Investigator

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sakane yusuke 坂根由昌

坂根由昌サカネユウスケ

SAKANE Yusuke 坂根由昌