TAKAGI Ryouichi 高木亮一

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

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 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 (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
- Data Source
  KAKENHI-PROJECT-16540053

1. SUGIYAMA Kennichi (90206441)

# of Collaborated Projects : 11results

# of Collaborated Products : 0results
2. INABA Takashi (40125901)

# of Collaborated Projects : 9results

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3. KOSHITANI Sigeo (30125926)

# of Collaborated Projects : 9results

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4. KUGA Kennichi (30186374)

# of Collaborated Projects : 7results

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5. YOSHIDA Hidenobu (60009280)

# of Collaborated Projects : 6results

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6. YANAGIHARA Niro (70009041)

# of Collaborated Projects : 6results

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7. 志賀弘典 (90009605)

# of Collaborated Projects : 6results

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8. 平田和彦 (80020296)

# of Collaborated Projects : 6results

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9. 西田康二 (60228187)

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10. HINO Yoshityki (70004405)

# of Collaborated Projects : 4results

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11. 中神潤一 (30092076)

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12. 野澤宗平 (20092083)

# of Collaborated Projects : 3results

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13. URAKAWA Hajime (50022679)

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14. TSUBOI Takashi (40114566)

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15. 安藤哲哉 (20184319)

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17. 宮本育子 (00009606)

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18. NAGAI Setsuo (50316791)

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19. NAGISA Masaru (50189172)

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20. SAKANE Yusuke (00089872)

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21. OHNITA Yasuhiro (90183764)

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22. KOISO Norihito (70116028)

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23. SASAKI Takeshi (00022682)

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24. KOBAYASHI Ryoichi (20162034)

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25. KAWARADA Hideo (90010793)

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26. KENMOCHI Nobuyuki (00033887)

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27. KURANO Masami (70029487)

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28. YASUDA Masami (00041244)

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29. KOSHIKAWA Hiroaki (60000866)

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30. NAKAYAMA Hiromichi (30227970)

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31. SEKIGAWA Kouei (60018661)

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32. TOJO Koji (30296313)

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33. TSUKADA Kazumi (30163760)

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34. SATOH Shin (90345009)

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35. SHIOHAMA Katsuhiro (20016059)

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36. SAKAI Takashi (70005809)

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37. OGIUE Kouichi (10087025)

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38. SUNADA Toshikazu (20022741)

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39. OCHIAI Takushiro (90028241)

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40. 松田茂樹 (90272301)

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44. 中島啓 (00201666)

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45. 山口佳三 (00113639)

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TAKAGI Ryouichi 高木 亮一

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TAKAGI Ryouichi 高木亮一