KOMIYA Katsuhiro 小宮克弘

… Alternative Names

Researcher Number	00034744
Affiliation (based on the past Project Information) *help	2010 – 2011 : 山口大学, 名誉教授 2007 – 2010 : Yamaguchi University, Graduate School of Science and Engineering, Professor 2006 : Yamaguchi University, Graduate School of Sci.and Eng., Proffesor, 大学院理工学研究科, 教授 1994 – 2005 : 山口大学, 理学部, 教授 1991 – 1992 : 山口大学, 理学部, 助教授 1988 – 1989 : 山口大学, 理学部, 助教授 1986 : 山口大, 理学部, 助教授
Review Section/Research Field	Principal Investigator Geometry / 代数学・幾何学 / Geometry Except Principal Investigator Geometry / Geometry / 解析学 / 代数学・幾何学 / Global analysis / Algebra
Keywords	Principal Investigator オイラー標数 / SK群 / Borsuk-Ulamの定理 / 同変写像 / オイラー類 / cutting and pasting / Borsuk-Ulam theorem / G多様体 / equivariant K-theory / SK同値 … More Except Principal Investigator 部分多様体 / 特異点 / 対称空間 / グラスマン幾何 / ジェット空間 / singularity / 情報幾何学 / jet space / 安定ホモトピー群 / affine differential geometry / 特性類 / 折り目写像 / ホモトピー / Hessian manifolds / アファイン微分幾何学 / 双対接続 / 微分可能写像 / 可微分写像 / 写像の特異点 / ホモトピー群 / 等質空間 / smooth map / n-harmonic map / 変分問題 / information geometry / Codazzi structure / Hesse構造 / 射影的平坦接続 / submanifold / n-調和写像 / 共形幾何構造 / Grassmann geometry / 多様体 / リー群 / p-調和写像 / Codazzi構造 / homotopy / リーマン面 / Hesse計量 / トム多項式 / Hessian構造 / 結び目理論 / smooth maps / Thom polynomial / homogeneous space / ホモトピー型 / 自己双対 / リー郡 / affine Chern classes / totally geodesic submanifold / Gauss写像 / ブリル・ネーター理論 / 写像 / 有界対称領域 / Kaehler幾何学 / 安定ホモトピー / トポロジー / 折り目特異点 / Hessian structure / Hessian metric / exchange property / 球面の安定ホモトピー群 / Hessian structures / Hessian metrics / リー理論 / Morin map / 積分表示 / Kahler geometry / QF-環 / 幾何学 / 折り目 / コボルディズム / コンバクト対称空間 / unimndnlar Lie noun / ユニタリ表現 / J-image / 等長変換群 / 平坦接続 / partial differential equation of 1st order / リー代数 / variational problem / 双対構造 / p-harmonic map / K-軌道 / 代数曲線 / アルチン環 / 位相幾何 / family of probability distributions / continuous加群 / ホモトピー原理 / flat affine manifold / 調和関数 / コンタクト軌道 / 一階偏微分方程式系 / left invariant metric / Hessian多様体 / 対称部分多様体 / Lie algebra / 曲面 / 左不変計量 / タイヒミュラー空間 / ホモトポープリンシプル / 分類空間 / dual connections / コボルディズム. / Codazzi structures / Hesse多様体 / fold map / Thom多項式 / flat vector bundle / Kahler manifold / symmetric space / 確率分布族 / ユニモジュラーリー群 / Fisher情報計量 / surface / Kahler幾何学 / 全測地的部分多様体 / 双曲計量 / Lie代数 / dual connection / Hessian manifold / 障害類 / Information geometry / 正則写像 / ホモトピー類 / 等角写像 / Nakayama自己同型 / Liegroup / morin map / Pontrjagin類 / Kahler多様体 / conformal geometric structure Less

Homotopy theory on singularities of differentiable maps and K-invariant spaces of the jet spaces
- Principal Investigator
  
  ANDO Yoshifumi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Riemannian homogeneous spaces and their Grassmann geometry
- Principal Investigator
  
  NAITO Hiroo
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
A study on invariants for knots derived from the magnetic graph
- Principal Investigator
  
  MIYAZAWA Yasuyuki
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Singularities of maps and applications of the homotopy principles
- Principal Investigator
  
  ANDO Yoshifumi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
n-harmonic maps and conformal structures on Riemannian manifolds
- Principal Investigator
  
  NAKAUCHI Nobumitsu
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yamaguchi University
Study on submanfolds of homogeneous spaces from the view of orbital Grassmann geometry
- Principal Investigator
  
  NAITOH Hiroo
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Study on characteristic numbers of G-manifolds and its fixed points submanifoldsPrincipal Investigator
- Principal Investigator
  
  KOMIYA Katsuhiro
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Research of invariants of singularities of smooth mappings
- Principal Investigator
  
  ANDO Yoshifumi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Research on families of fixed point sets of G-manifolds in transformation group theoryPrincipal Investigator
- 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 Geometry
- 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
DIFFERENTIAL GEOMETRY OF HESSIAN STRUCTURES AND ITS APPLICATIONS TO INFORMATION GEOMETRY
- 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
Study on Transformation Group Theory and Equivariant K-theoryPrincipal Investigator
- Principal Investigator
  
  KOMIYA Katsuhiro
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Homotopy theoretic study of singularities of smooth mappings
- Principal Investigator
  
  ANDO Yoshifumi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Differential Geometry and Information Geometry II
- 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 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
Transformation Group Theory and Critical Point TheoryPrincipal Investigator
- Principal Investigator
  
  KOMIYA Katsuhiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
リーマン面上の有理型函数の研究
- Principal Investigator
  
  加藤崇雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamaguchi University
リーマン面間の正則写像の研究
- Principal Investigator
  
  増本誠
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamaguchi University
変換群論と臨界点論の研究Principal Investigator
- Principal Investigator
  
  小宮克弘
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi 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
不動点理論と変換群論の研究Principal Investigator
- 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
Hessian manifoldsの研究
- Principal Investigator
  
  SHIMA Hirohiko
- 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
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
- 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 2008 2007 2006 2005 2003

All Journal Article Presentation

[Journal Article] Tangential representations at isolated fixed points of odd-dimensional G-manifolds2008
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Bull.Korean Math Soc 45
  
  Pages : 33-37
- Data Source
  KAKENHI-PROJECT-18540217
[Journal Article] Tangential representations at isolated fixed points ofodd-dimensional G-manifolds2008
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Bull.Korean Math.Soc 45
  
  Pages : 33-37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540088
[Journal Article] Tangential representations at isolated fixed points of odd-dimensional G-manifolds2008
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Bulletin of Korean Mathematical Society 45
  
  Pages : 33-37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540088
[Journal Article] Tangential representations at isolated fixed points of odd-dimensional2008
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  G-manifolds 45
  
  Pages : 33-37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540217
[Journal Article] Tangential representations at isolated fixed points of odd-dimensional G-manifolds2008
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Bull. Korean Math. Soc. 45
  
  Pages : 33-37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540217
[Journal Article] The decomposability of Z_2-manifolds in cut-and-paste equivalence2007
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages : 285-291
- Data Source
  KAKENHI-PROJECT-18540088
[Journal Article] The decomposability of Z_2-manifolds in cut-and-paste equivalence2007
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Tokyo J .Math 30
  
  Pages : 285-291
- Data Source
  KAKENHI-PROJECT-18540217
[Journal Article] The decomposability of Z 2-manifolds in cut-and-paste equivalence2007
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages : 285-291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540088
[Journal Article] The decomposition of Z_2-manifolds in cut-and-paste equivalence2007
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Tokyo J. math. 30
  
  Pages : 285-291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540217
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka Journal of Mathematics 42
  
  Pages : 233-241
- Data Source
  KAKENHI-PROJECT-15540209
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka Journal of Mathematics 42(1)(未定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540079
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibering over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka Tournal of Mathematics 142(1)(印刷中)
- Data Source
  KAKENHI-PROJECT-16540072
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka Journal of Mathematics 42
  
  Pages : 233-241
- Data Source
  KAKENHI-PROJECT-17540081
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka J.Math. 42
- Data Source
  KAKENHI-PROJECT-15540209
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro, Komiya
- Journal Title
  
  Osaka J.Math 42(to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540080
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka J.Math 42(印刷中)
- Data Source
  KAKENHI-PROJECT-15540080
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka J.Math. 42(1)(to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540079
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibering over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka J.Math. 42
  
  Pages : 233-241
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540072
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibring over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka J.Math. 42
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540080
[Journal Article] The divisibility in the cut-andpaste group of G-manifolds and fibering over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka Journal of Mathematics 42
  
  Pages : 233-241
- Data Source
  KAKENHI-PROJECT-16540072
[Journal Article] The divisibility in the cut-and-paste group of G-manifolds and fibering over the circle within a cobordism class2005
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Osaka Journal of Mathematics 42
  
  Pages : 233-241
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540072
[Journal Article] Cutting and pasting of families of submanifolds modeled on Z_2 manifolds2003
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Tokyo J.Math. 26
  
  Pages : 403-411
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540079
[Journal Article] Cutting and pasting of manifolds into G-manifolds2003
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Kodai Mathematical Journal 26
  
  Pages : 230-243
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540079
[Journal Article] Cutting and pasting of manifolds into G-manifolds2003
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Kodai Math.J. 26
  
  Pages : 230-243
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540079
[Journal Article] Cutting and pasting of families of submanifolds modeled on Z_2 manifolds2003
- Author(s)
  Katsuhiro Komiya
- Journal Title
  
  Tokyo Journal of Mathematics 26
  
  Pages : 403-411
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540079
[Presentation] Cutting and patsting of G-manifolds and families of submanifolds2006
- Author(s)
  Katsuhiro, Komiya
- Organizer
  15-th Brazilian Topology Meeting
- Place of Presentation
  Rio Claro,Brazil
- Year and Date
  2006-07-10
- Data Source
  KAKENHI-PROJECT-18540217

1. NAITOH Hiroo (10127772)

# of Collaborated Projects : 20results

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2. NAKAUCHI Nobumitsu (50180237)

# of Collaborated Projects : 18results

# of Collaborated Products : 0results
3. SHIMA Hirohiko (70028182)

# of Collaborated Projects : 13results

# of Collaborated Products : 0results
4. ANDO Yoshifumi (80001840)

# of Collaborated Projects : 11results

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5. INOUE Toru (00034728)

# of Collaborated Projects : 10results

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6. MIYAZAWA Yasuyuki (60263761)

# of Collaborated Projects : 10results

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7. WATANABE Tadashi (10107724)

# of Collaborated Projects : 8results

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8. SATO Yoshihisa (90231349)

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9. KATO Takao (10016157)

# of Collaborated Projects : 7results

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10. KIUCHI Isao (30271076)

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11. HATAYA Yasushi (20294621)

# of Collaborated Projects : 4results

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12. 大城紀代市 (90034727)

# of Collaborated Projects : 3results

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13. 柳研二郎 (90108267)

# of Collaborated Projects : 3results

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14. YOSHIMURA Hiroshi (00182824)

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15. KAWAI Shigeo (30186043)

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16. TAKEUCHI Hiroshi (20197271)

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17. 久田見守 (80034734)

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18. 郷間知巳 (70253135)

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19. MIYOSHI Tetuhiko (60040101)

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20. TAKAKUWA Shoichiro (10183435)

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21. 菊政勲 (70234200)

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22. 倉田吉喜 (30034698)

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23. 増本誠 (50173761)

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24. OKADA Mari (40201389)

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25. NISHIYAMA Takahiro (60333241)

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26. KAJI Shizuo (00509656)

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27. IIYORI Nobuyasu (00241779)

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28. 片山寿男 (00043860)

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29. 河津清 (70037258)

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30. MAKINO Tetsu (00131376)

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31. KITAMOTO Takuya (30241780)

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KOMIYA Katsuhiro 小宮 克弘

小宮 克弘 コミヤ カツヒロ

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Study on characteristic numbers of G-manifolds and its fixed points submanifoldsPrincipal Investigator

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Research on families of fixed point sets of G-manifolds in transformation group theoryPrincipal Investigator

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Study on Transformation Group Theory and Equivariant K-theoryPrincipal Investigator

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KOMIYA Katsuhiro 小宮克弘

小宮克弘コミヤカツヒロ