OZAWA Tetsuya 小沢哲也

… Alternative Names

OZAWA Tetuya 小澤哲也

OZAWA Tetasuya 小沢哲也

小沢哲也オザワテツヤ

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Researcher Number	20169288
Affiliation (based on the past Project Information) *help	2014 – 2015: 名城大学, 理工学部, 教授 2011: 名城大学, 理工学部, 教授研究者 2010: 名城大学, 理工学部, 教授 2004 – 2007: 名城大学, 理工学部, 教授 1998 – 2002: Meijo University, Faculty of Sci.and Tech., Professor, 理工学部, 教授 … More 1996 – 1997: 名城大学, 理工学部, 助教授 1990 – 1993: Nagoya Univ. Sci., Lecturer, 理学部, 講師 1988 – 1989: 名古屋大学, 理学部, 助手 1986: 名古屋大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry Except Principal Investigator Geometry / 代数学・幾何学 / 解析学 / Global analysis
Keywords	Principal Investigator シュワルツ微分 / モーメント写像 / Zero Curvature Condition / Heisenberg Frame Buncle / Normal Connection / Partial Differential Equation / Schwarzian Derivative / Conformal Structure / CR structure / Contact Structure … More / 射影構造 / 零曲率条件 / ハイゼンベルグ標構 / 正規接続 / 偏微分方程式系 / 共形構造 / CR構造 / 接触構造 / Infinitesimal transformation / Heisenberg Lie Algebra / Conformal Curvatures / Conformal Transformation / Contact transformation / Contact manifold / Schwarzian derivative / ハイゼンベルグリー環 / 無限小変換 / ハイゼンベルグ・リー代数 / 共形曲率 / 共形変換 / 接触変換 / 接触多様体 / regular homotopy / Bernoulli polynomial / Vassiliev order / topological invariant / plane closed curve / 正規不安定曲線 / バシリエフ・オーダー / Bemoulli多項式 / 正則変形 / Bernoulli多項式 / Vassiliev位数 / 位相不変量 / 平面閉曲線 / フーリエ変換 / ベルヌ-イ多項式 / 格子点和 / エアハルト多項式 / 凸体の幾何 / シンプレクティック多様体 / 概複素構造 / シンプレクティック構造 / 多様体の退化 / 特異平坦構造 … More Except Principal Investigator グロンウォール予想 / ルジャンドル織物 / シュワルツ微分 / ユニタリ表現 / ラプラシアン / 最大等方空間 / ジェット空間 / 接触織物 / サミュエルソン条件 / ラグランジアン織物 / シンプレクティック多様体 / グロンオール予想 / 線形化 / 接触射影幾何 / 3階常微分方程式 / multiplicity of phenomena for potential / models with necessary condition / inverse problem of differential equation / topological classification of phenomena / (invariant) superpotential / 非線型作用素 / 結晶 / 群作用不変性 / 変分法 / 1@fノイズと非線形性 / 発生における周期性 / 負の二項分布 / 変分法的な手法 / 液滴の振動現象 / 雪結晶の理論 / (ポテンシャンに対する)現象の多重性 / 必要条件とみたすモデル / 微分方程式の逆問題 / 現象の位相分類 / (群作用不変な)ス-パ-ポテンシャル / invariant submanifolds / Grasmann geometry / J-holomorphic curves / Caley algebra / Exceptional Lie group / spin(7)-frame field / 8次元ユークリッド空間内の6次元部分多様体 / 不変部分多様体の変形理論 / super-minimalな概正則曲線 / 6次元球面の概複素構造 / 変形 / J-holomorphic curve / 6次元球面 / 部分多様体 / 概複素構造 / 不変部分多様体 / グラスマ幾何学 / 概正則曲線 / ケーリー代数 / 例外型単純リー群 / Invariant differential operators / Eigenfuctions of Laplacian / Cauchy integral on the classical domain / Poisson integral on the classical domain / global analysis / functional analysis / homogeneous space / unitary representations / ホワイトノイズ / 無限次元解析 / 関数解析 / 微分幾何 / 多様体 / 表現論 / リー群 / コーシー積分 / ポアッソン積分 / 不変微分作用素 / シンプレクティック構造 / 調和解析 / 等質空間 / リー群のユニタリ表現 / exponential product formula / twisted de Rham / connection formula / Jackson integral / q de Rham complex / Yang-Baxter方程式 / ジャクソン積分 / 量子ド・ラーム複体 / 指数積公式 / ツイストde Rham複体 / 接続問題 / Jackson積分 / 量子de Rham複体 / 基本群 / ラズラシアンのスペクトル / CMC安定 / P曲面 / Schwarz'P曲面 / Schwarz' P 曲面 / Gyroid / Schwarz' P　曲面 / Jacobi operator / 平坦トーラス / 極小曲面 / ２重周期的極小曲面 / 種数４の超楕円面 / 種数３の超楕円面 / モース指数 / ３重周期的極小曲面 / 生成関数 / 複素ラグランジュ錐 / ruled submanifold / horizontal submanifold / null submanifold / index and nullity / ヤコビ作用素 / 極小曲面の変形空間 / 平坦トーラスの極小曲面 / 複素ラグランジュ錐の生成関数 / 田中-ウェブスター接続 / CR多様体 / プシュードハーミッシアン構造 / リー・テンソル積構造 / リー構造 / 放物幾何 / 有限型微分方程式系 / 高次ジェット空間 / 接触変換 / 包合系 / 接触幾何学 / 階別単純リー環 / 微分式系 / 核型空間 / ガウス空間 / 生成・消滅演算子 / 超関数 / フォック空間 / 量子的マルチンゲール / 量子確率論 / ホワイトノイズ解析 / ランダウ型方程式 / 9ー解析 / 特異積分方程式 / 安定性 / 境界条件 / 流体現象 / 調和写像 / 非線型楕円方程式 / 玄武岩柱状節理 / ATP構造とエネルギ- / 形態と数理 / 離散群 / スペクトル幾何学 Less

Research on Contact Web Theory and Related Geometric Structures as Foundations of Theory of Differential Equations
- Principal Investigator
  
  SATO Hajime
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
A study on a generating function of a complex Lagrangian submanifold and its applications
- Principal Investigator
  
  EJIRI Norio
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Meijo University
Construction of theory of non-commutative partial differential equations by Schwarzian and twistor methods
- Principal Investigator
  
  SATO Hajime
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Research on the differential sysytems and geometric structures associated with simple graded Lie algebras
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Research on Geometric Structures, Schwarzian Derivatives of Maps and Partial Differential EquationsPrincipal Investigator
- Principal Investigator
  
  OZAWA Tetsuya
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Meijo University
Various geometric structures and Grassmann Geometry
- Principal Investigator
  
  HASHIMOTO Hideya
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Meijo University
Research on Contact transformations and Geometric structures of Schwarzian DerivativesPrincipal Investigator
- Principal Investigator
  
  OZAWA Tetsuya
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Meijo University
Representations of Lie groups
- Principal Investigator
  
  OKAMOTO Kiyosato
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Meijo University
Research of topological invariants of plane closed curvesPrincipal Investigator
- Principal Investigator
  
  OZAWA Tetsuya
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  MEIJO UNIVERSITY
Symplectic多様性への群作用と位相構造の研究Principal Investigator
- Principal Investigator
  
  小澤哲也
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Meijo University
特異点をもつ局所平坦多様体の幾何学的構造と変形の研究Principal Investigator
- Principal Investigator
  
  小澤哲也
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
ホワイトノイズ解析と量子確率論
- Principal Investigator
  
  尾畑伸明
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
q-analog de Rham cohomology
- Principal Investigator
  
  AOMOTO Kazuhiko
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
生物形態における数理理論の構成の試み(酵母を中心として)
- Principal Investigator
  
  SHIKATA Yoshihiro
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
非線型偏微分方程式論と幾何学及び確率論的問題との関連
- Principal Investigator
  
  MURAI Takafumi
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Nagoya University
多様体上の周期的作用素のスペクトル解析
- Principal Investigator
  
  砂田利一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
On Applications of Global Variation Theory
- Principal Investigator
  
  SHIKATA Yoshihiro
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
Riemann多様体のSpectrumの研究
- Principal Investigator
  
  砂田利一
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University

All 2015 2013 2012 2011 2007 2006 2005

All Journal Article Presentation Book

[Book] 曲線幾何学の小径2005
- Author(s)
  小澤哲也
- Total Pages
  168
- Publisher
  培風館
- Data Source
  KAKENHI-PROJECT-15540099
[Book] 曲線幾何学の小径2005
- Author(s)
  小澤哲也
- Total Pages
  168
- Publisher
  倍風館
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540099
[Book] Curves2005
- Author(s)
  Ozawa tetsuya
- Total Pages
  168
- Publisher
  Baifuukann
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540099
[Journal Article] Linearization and Gronwall conjecture of Legendrian web2015
- Author(s)
  Ｔｅｔｓｕｙａ Ozawa, Hajime Sato
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 26
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400067
[Journal Article] Closed planar curves without inflections2013
- Author(s)
  Shuntaro Ohno, Tetsuya Ozawa and Masaaki Umehara
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 141 Pages: 651-665
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400067
[Journal Article] Closed planar curves without inflections2012
- Author(s)
  Shuntaro Ohno, Tetsuya Ozawa and Masaaki Umehara
- Journal Title
  
  Proc. of the AMS
  
  Volume: S0002_9939
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540076
[Journal Article] Construction of equivalence maps in Pseudo-Hermitian geometry via linear differ-ential equations2011
- Author(s)
  Tetsuya Ozawa and Hajime Sato
- Journal Title
  
  Kodai Math J
  
  Volume: 34 Pages: 105-123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540076
[Journal Article] Construction of equivalence maps in pseudo-Hermitian geometry via linear partial differential equations2011
- Author(s)
  Tetsuya Ozawa
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 34 Issue: 1 Pages: 105-123
- DOI
  10.2996/kmj/1301576765
- NAID
  130004496128
- ISSN
  0386-5991, 1881-5472
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540076
[Journal Article] Differential Equations and Schwarzian Derivatives2007
- Author(s)
  Hajime SATO, Tetsuya OZAWA, Hiroshi SUZUKI
- Journal Title
  
  Noncommutative Geometry and Phsics 2005, Proceedings of the International Sendai-Beijing Joint Workshop
  
  Pages: 129-149
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540085
[Journal Article] Differential Equations and Schwarzian Derivatives2007
- Author(s)
  Hajime SATO, Tetsuya OZAWA, Hiroshi SUZUKI
- Journal Title
  
  Noncommutative Geometry and Physics 2005, Proceedings of the International Sendai-Beijing Joint Workshop
  
  Pages: 129-149
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540085
[Presentation] 部分複素幾何学と基本方程式2007
- Author(s)
  小沢哲也
- Organizer
  シンプレクティック幾何学とその周辺
- Place of Presentation
  岐阜経済大学
- Year and Date
  2007-11-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540085
[Presentation] bubcomplex structures and the tundamental equations II2007
- Author(s)
  Tetsuya OZAWA
- Organizer
  Symplectic geometry and the surrounaings
- Place of Presentation
  Gifu Keizai University
- Year and Date
  2007-11-12
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540085
[Presentation] ouncomplex structures and the tunaamental equations.2006
- Author(s)
  Tetsuya OZAWA
- Organizer
  Sympiectic geometry and the surrounaings
- Place of Presentation
  Akita University
- Year and Date
  2006-11-15
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540085
[Presentation] 部分複素幾何学と基本方程式2006
- Author(s)
  小沢哲也
- Organizer
  シンプレクティック幾何学とその周辺
- Place of Presentation
  秋田大学
- Year and Date
  2006-11-15
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540085

1. AOMOTO Kazuhiko (00011495)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. TSUKAMOTO Michiro (80076637)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. KATO Yoshifumi (40109278)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. SHIKATA Yoshihiro (50028114)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. OKAMOTO Kiyosato (60028115)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. TSYCHIYA Akihiro (90022673)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. OMOTO Hideo (20022684)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. MURAI Takafumi (00109266)

# of Collaborated Projects: 3 results

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9. HASHIMOTO Hideya (60218419)

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10. 千代延大造 (50197638)

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11. 舟木直久 (60112174)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. SATO Hajime (30011612)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
13. SUZUKI Hiroshi (70235993)

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14. 砂田利一 (20022741)

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15. 内藤久資 (40211411)

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16. 森本宏 (20115645)

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17. 北岡良之 (40022686)

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18. YAMAGUCHI Keizo (00113639)

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19. IZUMIYA Shuichi (80127422)

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20. ONO Kaoru (20204232)

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21. ISHIKAWA Goo (50176161)

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22. MATSUMOTO Keiji (30229546)

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23. HURUHATA Hitoshi (80282036)

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24. YATSUI Tomoaki (00261371)

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25. NAKAI Isao (90207704)

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26. SASAKI Takeshi (00022682)

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27. EJIRI Norio (80145656)

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28. OHSAWA Takeo (30115802)

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29. SAITO Kimiaki (90195983)

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30. SEKIGAWA Kouei (60018661)

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31. MASHIMO Kastuya (50157187)

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32. TSUKADA Kaxumi (30163760)

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33. UDAGAWA Seiichi (70193878)

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34. MORIMOTO Akihiko (30022510)

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35. 御橋廣真 (30022594)

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36. 堀田康雄 (30190218)

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37. 尾畑伸明 (10169360)

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38. 松尾厚 (20238968)

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39. 松澤忠人 (20022618)

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40. 伊藤昇 (20151524)

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41. 河野俊丈 (80144111)

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42. 古田高士 (40215273)

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OZAWA Tetsuya 小沢 哲也

OZAWA Tetuya 小澤 哲也

OZAWA Tetasuya 小沢 哲也

小沢 哲也 オザワ テツヤ

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Research on Geometric Structures, Schwarzian Derivatives of Maps and Partial Differential EquationsPrincipal Investigator

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Research on Contact transformations and Geometric structures of Schwarzian DerivativesPrincipal Investigator

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Research of topological invariants of plane closed curvesPrincipal Investigator

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Symplectic多様性への群作用と位相構造の研究Principal Investigator

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特異点をもつ局所平坦多様体の幾何学的構造と変形の研究Principal Investigator

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OZAWA Tetsuya 小沢哲也

OZAWA Tetuya 小澤哲也

OZAWA Tetasuya 小沢哲也

小沢哲也オザワテツヤ

[Book] 曲線幾何学の小径2005

[Book] 曲線幾何学の小径2005