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SHIMA Hirohiko  志磨 裕彦

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… Alternative Names

志摩 裕彦  シマ ヒロヒコ

志磨 裕彦  シマ ヒロヒコ

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Researcher Number 70028182
Other IDs
Affiliation (based on the past Project Information) *help 2001 – 2005: 山口大学, 理学部, 教授
1997 – 1999: 山口大学, 理学部, 教授
1988 – 1994: 山口大学, 理学部, 教授
1986: 山口大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
Geometry / 代数学・幾何学 / Geometry
Except Principal Investigator
Geometry / 代数学・幾何学 / 解析学 / Algebra / Geometry / Global analysis
Keywords
Principal Investigator
情報幾何学 / 双対接続 / affine differential geometry / Hessian manifolds / Hessian多様体 / 射影的平坦接続 / Codazzi structure / information geometry / Hesse計量 / Hesse構造 … More / Codazzi構造 / アファイン微分幾何学 / flat affine manifold / flat vector bundle / affine Chern classes / コントラスト関数 / Kahler多様体 / 双対構造 / Hessian構造 / Hessian manifold / Kahler manifold / dual connection / 確率分布族 / Fisher情報計量 / Kahler幾何学 / Hessian metric / Hessian structure / Kahler geometry / family of probability distributions / Hesse多様体 / Kaehler幾何学 / 平坦接続 / Hessian metrics / Hessian structures / Codazzi structures / dual connections / Information geometry … More
Except Principal Investigator
部分多様体 / 対称空間 / グラスマン幾何 / 対称部分多様体 / 射影部分多様体 / 接触幾何学 / オイラー標数 / リー群 / projective differential geometry / affine differential geometry / hypergeometric system / contact geometry / 全測地的部分多様体 / リー代数 / symmetric space / Grassmann geometry / totally geodesic submanifold / Lie algebra / cut-and-paste / fibring over the circle / 閉リ-マン面 / 有理型函数 / Weierstrass点 / 平面代数曲線 / コンバクト対称空間 / Lie代数 / Gauss写像 / 同変臨界点論 / 臨界軌道 / 臨界値 / 臨界軌道型 / 群作用 / 不変関数 / 幾何構造 / 情報幾何 / シンプレクティック幾何 / ヘシアン幾何 / 巾零幾何 / アルチン環 / QF-環 / Nakayama自己同型 / 自己双対 / continuous加群 / exchange property / 等長変換群 / 不動点指数 / 同変写像 / レフシェッツ数 / メービウス反転 / 有界対称領域 / 調和関数 / 積分表示 / ユニタリ表現 / Φ-trivial extension / torsion理論 / 商環 / 古典的商環 / Oreの条件 / 超幾何系 / 射影微分幾何学 / 射影不変量 / アファイン幾何学 / 可積分系 / 線叢 / projective invariant / Hesse geometry / projective submanifold / projective invariants / integrable system / line congruence / 一階偏微分方程式系 / submanifold / partial differential equation of 1st order / ジョルダン代数 / 対称R-空間 / 左不変計量 / ジョルダン三項対 / コンパクトLie群 / symmetric submanifold / Lie group / Jordan algebra / symmetric R-space / SK同値 / SK群 / G多様体 / 不動点 / コポルディズム / Smith同値 / 接表現 / コボルディズム / 不動点多様体 / SK-equivalence / SK-group / G-manifolds / fixed points / Euler characteristics / cobordism / n-調和写像 / p-調和写像 / 変分問題 / 共形幾何構造 / n-harmonic map / p-harmonic map / variational problem Less
  • Research Projects

    (19 results)
  • Research Products

    (5 results)
  • Co-Researchers

    (31 People)
  •  Research on families of fixed point sets of G-manifolds in transformation group theory

    • Principal Investigator
      KOMIYA Katsuhiro
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Hessian Geometry and Information GeometryPrincipal Investigator

    • Principal Investigator
      SHIMA Hirohiko
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  n-harmonic maps and geometries of conformal structures on Riemannian manifolds

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Study on the geometry of symmetric spaces and their totally geodesic submanifolds

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  DIFFERENTIAL GEOMETRY OF HESSIAN STRUCTURES AND ITS APPLICATIONS TO INFORMATION GEOMETRYPrincipal Investigator

    • Principal Investigator
      SHIMA Hirohiko
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Differential Geometry and Information Geometry IIPrincipal Investigator

    • Principal Investigator
      SHIMA Hirohiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi 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
  •  Study on Submanifold Theory of Compact Riemannian Symmetric Spaces

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  射影部分多様体の幾何構造の研究

    • Principal Investigator
      SAKAI Takeshi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kobe University
  •  アルチン環の研究

    • Principal Investigator
      大城 紀代市
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  対称空間の部分多様体とグラスマン幾何の研究

    • Principal Investigator
      内藤 博夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  微分幾何学と情報幾何学Principal Investigator

    • Principal Investigator
      志磨 裕彦
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  不動点理論と変換群論の研究

    • Principal Investigator
      小宮 克弘
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University
  •  対称空間の部分多様体の研究

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University
  •  リ-マン面上の有理型函数とワイエルストラス点の研究

    • Principal Investigator
      加藤 崇雄
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  Hessian manifoldsの研究Principal Investigator

    • Principal Investigator
      志磨 裕彦
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University
  •  Torsion理論と関連した問題の研究

    • Principal Investigator
      倉田 吉喜
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University
  •  Lie群の表現と等質空間上の調和解析

    • Principal Investigator
      井上 透
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  多様体と群作用の研究

    • Principal Investigator
      小宮 克弘
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University

All 2005 Other

All Journal Article Book

  • [Book] Geometry of Hessian Structures2005

    • Author(s)
      Hirohiko Shima
    • Total Pages
      227
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Book] Geometry of Hessian structures2005

    • Author(s)
      Hirohiko Shima
    • Total Pages
      250
    • Publisher
      World Scientific
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540080
  • [Book] Geometry of Hessian Structures2005

    • Author(s)
      Hirohiko Shima
    • Total Pages
      250
    • Publisher
      World Scientific
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540080
  • [Book] Geometry of Hessian Structures

    • Author(s)
      Hirohiko Shima
    • Total Pages
      238
    • Publisher
      World Scientific
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Journal Article] Geometry of Hessian Structures

    • Author(s)
      Hirohiko Shima
    • Journal Title

      World Scientific (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • 1.  NAKAUCHI Nobumitsu (50180237)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 2.  KOMIYA Katsuhiro (00034744)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 3.  INOUE Toru (00034728)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 4.  NAITOH Hiroo (10127772)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 5.  KATO Takao (10016157)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  柳 研二郎 (90108267)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  大城 紀代市 (90034727)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  久田見 守 (80034734)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  ANDO Yoshifumi (80001840)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  倉田 吉喜 (30034698)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  SAKAI Takeshi (00022682)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  KANEYUKI Souji (40022553)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  YOSHIDA Masaaki (30030787)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  YOSHIMURA Hiroshi (00182824)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  菊政 勲 (70234200)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  HATAYA Yasushi (20294621)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  MAKINO Tetsu (00131376)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  柳原 宏 (30200538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  佐藤 肇 (30011612)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  TAKANO Kyoichi (10011678)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  TAKAYAMA Nobuki (30188099)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  坂根 由昌 (00089872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  渡邉 正 (10107724)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  片山 寿男 (00043860)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  河津 清 (70037258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  MIYAZAWA Yasuyuki (60263761)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KITAMOTO Takuya (30241780)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  KAWAI Shigeo (30186043)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  TAKEUCHI Hiroshi (20197271)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  TAKAKUWA Shoichiro (10183435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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