TAKAGI Ryouichi 高木亮一

… Alternative Names

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

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6. YANAGIHARA Niro (70009041)

# of Collaborated Projects: 6 results

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7. 志賀弘典 (90009605)

# of Collaborated Projects: 6 results

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8. 平田和彦 (80020296)

# of Collaborated Projects: 6 results

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9. 西田康二 (60228187)

# of Collaborated Projects: 5 results

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10. HINO Yoshityki (70004405)

# of Collaborated Projects: 4 results

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11. 中神潤一 (30092076)

# of Collaborated Projects: 3 results

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12. 野澤宗平 (20092083)

# of Collaborated Projects: 3 results

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13. URAKAWA Hajime (50022679)

# of Collaborated Projects: 2 results

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14. TSUBOI Takashi (40114566)

# of Collaborated Projects: 2 results

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15. 安藤哲哉 (20184319)

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16. 北詰正顕 (60204898)

# of Collaborated Projects: 2 results

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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

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20. SAKANE Yusuke (00089872)

# of Collaborated Projects: 1 results

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21. OHNITA Yasuhiro (90183764)

# of Collaborated Projects: 1 results

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22. KOISO Norihito (70116028)

# of Collaborated Projects: 1 results

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23. SASAKI Takeshi (00022682)

# of Collaborated Projects: 1 results

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24. KOBAYASHI Ryoichi (20162034)

# of Collaborated Projects: 1 results

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25. KAWARADA Hideo (90010793)

# of Collaborated Projects: 1 results

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26. KENMOCHI Nobuyuki (00033887)

# of Collaborated Projects: 1 results

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27. KURANO Masami (70029487)

# of Collaborated Projects: 1 results

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28. YASUDA Masami (00041244)

# of Collaborated Projects: 1 results

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29. KOSHIKAWA Hiroaki (60000866)

# of Collaborated Projects: 1 results

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30. NAKAYAMA Hiromichi (30227970)

# of Collaborated Projects: 1 results

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31. SEKIGAWA Kouei (60018661)

# of Collaborated Projects: 1 results

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32. TOJO Koji (30296313)

# of Collaborated Projects: 1 results

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33. TSUKADA Kazumi (30163760)

# of Collaborated Projects: 1 results

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34. SATOH Shin (90345009)

# of Collaborated Projects: 1 results

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35. SHIOHAMA Katsuhiro (20016059)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. SAKAI Takashi (70005809)

# of Collaborated Projects: 1 results

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37. OGIUE Kouichi (10087025)

# of Collaborated Projects: 1 results

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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

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42. 柳原二郎 (30157804)

# of Collaborated Projects: 1 results

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43. 田栗正章 (10009607)

# of Collaborated Projects: 1 results

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44. 中島啓 (00201666)

# of Collaborated Projects: 1 results

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45. 山口佳三 (00113639)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TAKAGI Ryouichi 高木 亮一

TAKAGI Ryoichi 高木 亮一

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TAKAGI Ryouichi 高木亮一

TAKAGI Ryoichi 高木亮一