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TAKAGI Ryouichi  高木 亮一

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TAKAGI Ryoichi  高木 亮一

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Researcher Number 00015562
Other IDs
Affiliation (based on the past Project Information) *help 2009: 千葉大学, 大学院・理学研究科, 名誉教授
2008: 千葉大学名, 名誉教授
1992 – 2008: 千葉大学, 理学部, 教授
2007: 千葉大学, 大学院・理学研究科, 教授
1986 – 1990: 千葉大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Geometry
Except Principal Investigator
Geometry / 解析学 / 代数学・幾何学 / Geometry / Algebra / Global analysis
Keywords
Principal Investigator
主曲率 / 実超曲面 / congruent / pricipal curvature / orbit / Lie subgroup / strongly homogeneous / real hypersurface / cmplex space form / Be空間 … More / 分類 / 合同 / モデル空間 / 軌道 / 等長変換群 / 複素空間型 / 錐体と円柱 / ラプラス・ベルトラミー演算子 / ヒルベルト空間 / モジュラー空間 / 調和関数 / 複素構造 / リーマン構造 / 葉層構造 / 全測地的部分多様体 / 等質空間 / 複素射影空間 … More
Except Principal Investigator
有限群 / Engel structure / エンゲル構造 / エントロピー / 極小曲面 / 調和写像 / デイリクレ問題 / ディリクレ問題 / 極小集合 / 位相安定性 / 拡大性 / 擬葉追跡性 / 横断ハウスドルフ次元 / 葉層構造 / 表現 / 多様体 / リーマン多様体 / 差分方程式 / 群環 / Laplacian / Lie contact structure / minimal surfaces / homogeneous spaces / Yang-Mills connection / curvature / Einstein metric / manifold / 部分多様体 / ラプラスベルトラミ作用素 / 対称空間 / リ-マン多様体 / リッテ曲率 / 熱方程式 / 力学系 / 複素多様体 / リ-接触構造 / ラプラシアン / リー接触構造 / 等質空間 / ヤングミルズ接続 / 曲率 / アインシュタイン計量 / geometric entropy / contact manifolds of higher order / projective structure / characteristic curve / rigidity / nonintegrable plane fields / 剛的部分多様体 / 特性葉 / 局所剛的 / アノソフ流 / backet generating / 幾何学的エントロピー / 高位接触多様体 / 射影構造 / 特性曲線 / 剛性 / 積分不可能平面場 / Rigid curve / Tangential projective structure / Transverse contact structure / Characteristic foliation / 剛的曲線 / 接射影構造 / 横断的接触構造 / 特性葉層 / amenable group / Ruelle invariant / invariant fiber measure / flow / アメナブル群 / ルエル不変量 / 不変ファイバー測度 / 流れ / entropy / stability / expansivity / pseudoleaf tracing property / pseudoleaf / pseudo-orbit / foliation / generalized dynamical systems / 安定性 / 擬葉 / 擬軌道 / 広義力学系 / GMANOVA model / Jackknifing / Dirichlet problem / Fuzzy measure / percolation model / penetration phenomenon / phase separation model / non-linear analysis / ノイマン問題 / パーコレーションモデル / 超局所解析 / パーコレーション / 横断ハウスドルク次元 / ステファン問題 / 最適制御問題 / 相分離現象 / 非線形解析 / 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 / モジュライ空間 / 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 / 01Theorem of Phragmen-Lindelof type / p-block of a finite Group / Sylow p-subgroup / Chern class / Bogomolov-Gieseker type inequality / Einstein-Kahler metric / Dirichlet Problem / least harmonic majorant / システム理論 / アイゼンシュタイン級数 / ツェ-タ-関数 / 境界値問題 / 劣調和関数 / ポテンシヤル論 / II型因子環 / ラプラスーベルトラミ-演算子 / アインスタインーケェ-ラ-計量 / 最小調優関数 / フラグマンーリンデレ-フ型の定理 / II_1型因子環 / ブラウァ-対応 / モジュラ-表現 / ラプラスーベルトラミー演算子 / アインスタインーケェラ-計量 / 最小調和優関数 / フラグマン-リンデレ-フ型の定理 / モデュライ / 多変数保型函数 / 周期写像 / H-分離拡大 / 分離拡大 / 発散量 / 挟撃問題 / スカラー曲率 / 構造ヤコビ作用素 / リッチテンソル / 概接触計量構造 / 実超曲面 / 複素空間型 / 微分幾何 / Selbergの跡公式 / Milnor-Reidemeister普遍量 / Ruelle L関数とその特殊値 / Alexander不変量 / 多様体のゼータ関数 / レギュレター / 代数的K群 / 幾何学 / Regulator / Selberg跡公式 / 代数的K-群 / 岩澤予想 / L-関数 / 双曲幾何学 / Lichtenbaum予想 / 岩澤理論 / 特殊値 / Ruelle L-関数 / 3次元双曲多様体 / 葉層エントロピー / sharp pair / sharp character / 4次元多様体 / 超曲面 / ゴレンシュタイン・リ-ス環 / コーエン・マッコーレー環 / 鋭指標(シャープ・キャラクター) / 筒(クイバー) / 多元環 / 自己相似性 / ファジー / 保型形式 / 虚数乗法 / 周期積分 / Pー根基 / タンジェント層 / 代数的多様体 / 作用素 / Pーブロック / 群多元環 / 楕円積分 / リ-マン・ゼ-タ関数 / 葉層リ-マン多様体 / P-ブロック Less
  • Research Projects

    (22 results)
  • Research Products

    (6 results)
  • Co-Researchers

    (45 People)
  •  Study of real hypersurfaces in complex space forms

    • Principal Investigator
      NAGAI Setsuo
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      University of Toyama
  •  Iwasawa conjecture for a hyperbolic threefold and its application to number theory

    • Principal Investigator
      SUGIYAMA Kennichi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Chiba University
  •  Topology of nonintegrable plane fields

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Topological study of Engel structures and its characteristic foliations

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  A study on submanifolds in a complex projective spacePrincipal Investigator

    • Principal Investigator
      TAKAGI Ryoichi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  A study of minimal sets in differentiable flows and foliations

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      CHIBA UNIVERSITY
  •  A topological study of generalized dynamical systems

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      CHIBA UNIVERSITY
  •  群構造と表現

    • Principal Investigator
      野澤 宗平
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  葉層構造論の応用

    • Principal Investigator
      稲葉 尚志
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Non-linear analysis and its application

    • Principal Investigator
      YOSHIDA Hidenobu
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  群と多元環とこれら代数系の応用について

    • Principal Investigator
      越谷 重夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  4次元ハンドル構造の位相的変形とノルム多項式

    • Principal Investigator
      KUGA Kennichi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Geometric structures on manifolds and global variation problems

    • 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
  •  周期写像の代数的および超越的性質の研究

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  多様体上の種々の構造Principal Investigator

    • Principal Investigator
      高木 亮一
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  多元環と多様体における代数的側面と幾何的側面

    • Principal Investigator
      越谷 重夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  群と環の表現における代数的構造と幾何的構造

    • Principal Investigator
      KOSHITANI Sigeo
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  Potential Theory and its Applications

    • Principal Investigator
      YOSHIDA Hidenobu
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  多様体上の代数的構造と解析的構造Principal Investigator

    • Principal Investigator
      高木 亮一
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  可微分多様体の大域的構造について

    • Principal Investigator
      SHIOHAMA Katsuhiro
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  代数多様体と周期微分方程式

    • Principal Investigator
      滋賀 弘典
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  環および余多元環の拡大理論

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

All 2007 2005 2004 Other

All Journal Article

  • [Journal Article] Structure Jacobi operator of real hypersurfaces with constant scalar curvature in a nonflat complex space form2007

    • Author(s)
      U-Hang Ki, Setsuo Nagai and Ryoichi Takagi
    • Journal Title

      Tokyo J. Math Vol. 30

      Pages: 441-454

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540070
  • [Journal Article] Real hypersurfaces in non-flat complex space forms concerned with the structure Jacobi operator and Ricci tensor2005

    • Author(s)
      U-Hang Ki, Setsuo Nagai, Ryoichi Takagi
    • Journal Title

      Topics in almost Hermitian geometry and related fields, World Sci.Publ.

      Pages: 140-156

    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] Extrinsically homogeneous real hypersurfaces with three distinct principal curvatures in Hn(C)2004

    • Author(s)
      Takagi, Ryoichi., Kim, H.S., Kim, I.-B.
    • Journal Title

      Osaka Journal of Mathematics 41・4

    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] Structure Jacobi operator of real hypersurfaces with constant scalar curvature in a nonflat complex space form

    • Author(s)
      U-Hang Ki, Setsuo Nagai, Ryoichi Takagi
    • Journal Title

      Tokyo Journal of Mathematics (accepted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] Structure Jacobi operator of real hypersurfaces with constant scalar curvature in a nonflat complex space form

    • Author(s)
      U-Hang Ki, Setsuo Nagai, Ryoichi Takagi
    • Journal Title

      Tokyo Journal of Mathematics 受理済み

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] Structure Jacobi operator of real hypersurfaces with constant scalar curvature in a nonflat complex space form

    • Author(s)
      U-Hang Ki, Setsuo Nagai, Ryoichi Takagi
    • Journal Title

      Tokyo Journal of Mathematics 受理済み

    • Data Source
      KAKENHI-PROJECT-16540053
  • 1.  SUGIYAMA Kennichi (90206441)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  INABA Takashi (40125901)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  KOSHITANI Sigeo (30125926)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  KUGA Kennichi (30186374)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  YOSHIDA Hidenobu (60009280)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  YANAGIHARA Niro (70009041)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  志賀 弘典 (90009605)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  平田 和彦 (80020296)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  西田 康二 (60228187)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  HINO Yoshityki (70004405)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  中神 潤一 (30092076)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  野澤 宗平 (20092083)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  TSUBOI Takashi (40114566)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  安藤 哲哉 (20184319)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  北詰 正顕 (60204898)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  宮本 育子 (00009606)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  NAGAI Setsuo (50316791)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 19.  NAGISA Masaru (50189172)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  SAKANE Yusuke (00089872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  OHNITA Yasuhiro (90183764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KOISO Norihito (70116028)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SASAKI Takeshi (00022682)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KOBAYASHI Ryoichi (20162034)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  KAWARADA Hideo (90010793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KENMOCHI Nobuyuki (00033887)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KURANO Masami (70029487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  YASUDA Masami (00041244)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  KOSHIKAWA Hiroaki (60000866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  NAKAYAMA Hiromichi (30227970)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  SEKIGAWA Kouei (60018661)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  TOJO Koji (30296313)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  TSUKADA Kazumi (30163760)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  SATOH Shin (90345009)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  SHIOHAMA Katsuhiro (20016059)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  SAKAI Takashi (70005809)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  OGIUE Kouichi (10087025)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  SUNADA Toshikazu (20022741)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  OCHIAI Takushiro (90028241)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  松田 茂樹 (90272301)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  二木 昭人 (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  柳原 二郎 (30157804)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  田栗 正章 (10009607)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  中島 啓 (00201666)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  山口 佳三 (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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