KOIKE Naoyuki 小池直之

Researcher Number	00281410
Other IDs
Affiliation (Current)	2019: 東京理科大学, 理学部第一部数学科, 教授
Affiliation (based on the past Project Information) *help	2018: 東京理科大学, 理学部第一部数学科, 教授 2017: 東京理科大学, 理学部, 教授 2016: 東京理科大学, 理学部第一部数学科, 教授 2014 – 2015: 東京理科大学, 理学部, 教授 2007 – 2013: Tokyo University of Science, Faculty of Science, Associate Professor … More
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry / Mathematical analysis
Keywords	Principal Investigator 平均曲率流 / 部分多様体幾何 / 等径部分多様体 / 幾何学 / 対称空間 / Polar作用 / 無限次元幾何 / 微分幾可学 / 正則化された平均曲率流 / ヒルベルト空間 … More Except Principal Investigator 微分幾何学 / 極小部分多様体 / 調和写像 / モジュライ空間 / ラグランジュ部分多様体 / 可積分系 / deformation quantization / 部分多様体 / 幾何学 / star product / symplectic geometry / Poisson geometry / 対称空間 / noncommutative geometry / 曲面 / 非可換幾何学 / 特異点 / 変分問題 / 変分法 / Lagrange submanifold / 曲線 / Deformation Quantization / リー理論 / 等径部分多様体 / ヤン・ミルズ・ヒッグス方程式 / 関数論 / (A)微分幾何 / minimal submanifold / 極小曲面 / 量子化 / ポアソン幾何学 / 変形量子化 / 正則性 / 幾何学的測度論 / differential geometry / 平均曲率流 / moduli space / 数理物理学 / 波面 / リー群 / 等径超曲面 / フレアーホモロジー / ガウス曲率 / 超曲面 / シンプレクティック幾何学 / Yang-Mills-Higgs方程式 / poisson geometry / 部分多様体論 / Yang-Mills-Higgs equation / 量子力学 / 極大曲面 / 半正定値計量 / 等質空間 / quantization / harmonic map Less

Research of submanifolds in symmetric spaces and their time evolution along various curvature flowsPrincipal InvestigatorOngoing
- Principal Investigator
  
  小池直之
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo University of Science
New Development of Submanifold Geometry and Harmonic Map Theory in Symmetric Spaces
- Principal Investigator
  
  Ohnita Yoshihiro
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Promotion of the study of curves, surfaces and hypersurfaces with singularities from the view point of differential geometryOngoing
- Principal Investigator
  
  梅原雅顕
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Research of submanifolds and mean curvature flows in symmetric spaces by using the infinite dimensional geometry and the complexificationPrincipal Investigator
- Principal Investigator
  
  Koike Naoyuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Variational analysis on dynamic geometric problemsOngoing
- Principal Investigator
  
  利根川吉廣
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo Institute of Technology
  Hokkaido University
Research on submanifold geometry and harmonic map theory in symmetric spaces
- Principal Investigator
  
  OHNITA Yoshihiro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Research of submanifolds in symmetric spaces by usingthe infinite dimensional geometry and the complexificationPrincipal Investigator
- Principal Investigator
  
  KOIKE Naoyuki
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
A research on functional identitiesand noncommutative geometry bydeformation quantization
- Principal Investigator
  
  YOSHIOKA Akira
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Research of submanifolds in a symmetric space by using infinite dimensional geometryPrincipal Investigator
- Principal Investigator
  
  KOIKE Naoyuki
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Research on Submanifold Theory via Infinite Dimensional Methods
- Principal Investigator
  
  OHNITA Yoshihiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Research on Noncommutative Geometry by deformation quantization
- Principal Investigator
  
  YOSHIOKA Akira
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Differential geometry of harmonic maps, minimal submanifolds and Yang-Mills-Higgs equations
- Principal Investigator
  
  OHNITA Yoshihiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University

All 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2002 Other

All Journal Article Presentation

[Journal Article] The mean curvature flow for invariant hypersurfaces in a Hilbert space with an almost free group action2017
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Asian Journal of Mathematics
  
  Volume: 21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] Volume-preserving mean curvature flow for tubes in rank one symmetric spaces of non-compact type2017
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 56
- DOI
  10.1007/s00526-017-1156-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] A holonomy invariant anisotropic surface nergy in a Riemannian manifold2016
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 44 Pages: 98-121
- DOI
  10.1016/j.difgeo.2015.11.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] THE INVERSE MEAN CURVATURE FLOW IN RANK ONE SYMMETRIC SPACES OF NON-COMPACT TYPE2015
- Author(s)
  Naoyuki Koike　and Yusuke Sakai
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 69 Issue: 2 Pages: 259-284
- DOI
  10.2206/kyushujm.69.259
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] On the indices of minimal orbits of Hermann actions2015
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] On the indices of minimal orbits of Hermann actions2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] A Cartan type identity for isoparametric hypersurfaces in symmetric spaces2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 66
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] Research of submanifolds in symmetric spaces by using the complexification and the infinite dimensional geometry2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  SUT Journal of Mathematics
  
  Volume: 50 Pages: 103-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] Collapse of the mean curvature flow for isoparametric submanifolds in non-compact symmetric spaces2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] The complexifications of pseudo-Riemannian manifolds and anti-Kaehler geometry2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  SUT Journal of Mathematics
  
  Volume: 50 Pages: 271-295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] Examples of certain kind of minimal orbits of Hermann actions2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 43 Pages: 21-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] The constancy of the principal curvatures of curvature-adapted submanifolds in symmetric spaces2014
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 35
- DOI
  10.1016/j.difgeo.2014.06.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076
[Journal Article] Collapse of the mean curva- ture flow for equifocal submanifolds2011
- Author(s)
  小池直之
- Journal Title
  
  Asian Journal of Mathematics
  
  Volume: Vol.15, No.1 Pages: 101-128
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] Collapse of the mean curvature flow for equifocal submanifolds2011
- Author(s)
  小池直之
- Journal Title
  
  Asian Journal of Mathematics
  
  Volume: 15 Pages: 101-128
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] The homogeneous slice theorem for the complete complexification of a proper complex equifocal submanifold2010
- Author(s)
  小池直之
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 33 Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] The homogeneous slice theorem for the complete complexification of a proper complex equifocal submanifold2010
- Author(s)
  小池直之
- Journal Title
  
  Tokyo Journal of Mathematics 33
  
  Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] Hermann type actions on, Vol.34,No.2, 2010, pp. (5)a pseudo-Riemannian symmetric space2010
- Author(s)
  小池直之
- Journal Title
  
  Tsukuba Journal of Mathema- tics
  
  Volume: Vol.34,No.2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] The homogeneous slice theo- rem for the complete complexification of a proper complex equifocal subma- nifold2010
- Author(s)
  小池直之
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: Vol.33, No.1 Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] On cuvature-adapted and Proper complex equifocal submani- folds2010
- Author(s)
  小池直之
- Journal Title
  
  Kyungpook Mathenmatical Journal
  
  Volume: Vol.50, No.4 Pages: 509-536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] Example of a complex hyperpolar action without singular orbit2010
- Author(s)
  小池直之
- Journal Title
  
  Cubo A Mathematical Journal
  
  Volume: 12 Pages: 131-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] On curvature-adapted and proper complex equifocal submanifolds2010
- Author(s)
  小池直之
- Journal Title
  
  Kyungpook Mathematical Journal
  
  Volume: 50 Pages: 509-536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] Hermann type actions on a pseudo-Riemannian symmetric space2010
- Author(s)
  小池直之
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 34 Pages: 137-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] Examples of a complex hperpolar action without singular orbit2010
- Author(s)
  小池直之
- Journal Title
  
  Cubo A Mathematical Journal
  
  Volume: Vol.12, No.2 Pages: 131-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540095
[Journal Article] On non-existenceness of equifocal submanifolds with non-flatsection2008
- Author(s)
  N. Koike
- Journal Title
  
  Asian Journal of Mathematics 2008
  
  Pages: 421-442
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] Non-existenceness of equifocal submanifolds with non-flat section2008
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Asian J.Math. 12
  
  Pages: 421-442
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] Complex hyperpolar actions with a totally geodesic orbit2007
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 491-503
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540103
[Journal Article] A Chevalley type restriction theorem for a proper complex equifocal submanifold2007
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Kodai Mathematical Journal 30
  
  Pages: 280-296
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540103
[Journal Article] A Chevalley type restriction theorem for a proper complex equifocal Submanifold2007
- Author(s)
  小池直之
- Journal Title
  
  Kodai Mathematical Journal 30
  
  Pages: 280-296
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] A Chevalley type resthction theorem for a proper complex equifocal submanifolds2007
- Author(s)
  N.Koike(小池)
- Journal Title
  
  Kodai Math. J. 30
  
  Pages: 280-296
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] A Chevalley type restriction theorem for a proper complex equifocal submanifold2007
- Author(s)
  小池直之
- Journal Title
  
  Kodai Mathematical Journal (未定)(掲載決定済)
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] Complex hyperpolar actions with a totally geodesic orbit2007
- Author(s)
  小池直之
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 491-503
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] Complex hyperpolar actions with a totally geodesic orbit2007
- Author(s)
  小池直之
- Journal Title
  
  Osaka Journal of Mathematics 44・3(掲載決定済)
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] A Chevalley type restriction theorem for a proper complex equifocal submanifold2007
- Author(s)
  Naoyuki, Koike
- Journal Title
  
  Kodai, Mathematical Journal 30
  
  Pages: 280-296
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] Complex hyperpolar actions with a totally geodesic orbit2007
- Author(s)
  Naoyuki, Koike
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 491-503
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] A Chevalley type restriction theorem for a proper complex equifocal submanifold2007
- Author(s)
  小池直之
- Journal Title
  
  Kodai Mathematical Journal 30
  
  Pages: 280-296
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] The variational formulas of the volume function in the equiaffine geometry2006
- Author(s)
  小池直之
- Journal Title
  
  Hokkaido Mathematical Journal 35
  
  Pages: 719-751
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] The variational formulas of the volume function in the equiaffine geometry2006
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Hokkaido Mathematiucal Journal 35
  
  Pages: 719-751
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] A splitting theorem for proper complex equifocal submanifolds2006
- Author(s)
  小池直之
- Journal Title
  
  Tohoku Mathematical Journal 58
  
  Pages: 393-417
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] The variational formulas of the volume function in the equiaffine geometry2006
- Author(s)
  Naoyuki, Koike
- Journal Title
  
  Hokkaido Mathematical Journal 35
  
  Pages: 719-751
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] The variational formulas of the volume function in the equiaffine geometry2006
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Hokkaido Mathematical Journal 35
  
  Pages: 719-756
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] A splitting theorem for proper complex equifocal submanifolds2006
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tohoku Mathematical Journal 58
  
  Pages: 393-417
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] A splitting theorem for proper complex equifocal submanifolds2006
- Author(s)
  Naoyuki, Koike
- Journal Title
  
  Tohoku Mathematical Journal 58
  
  Pages: 393-417
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] The variational formulas of the volume function in the equiaffine geometry2006
- Author(s)
  小池直之
- Journal Title
  
  Hokkaido Mathematical Journal 35・4
  
  Pages: 719-751
- Data Source
  KAKENHI-PROJECT-18540099
[Journal Article] A splitting theorem for proper complex equivocal submanifolds2006
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tohoku Mathematical Journal 58
  
  Pages: 393-414
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian isoparametric submanifolds2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tokyo J.Math. 28
  
  Pages: 201-247
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian isoparametric submanifolds2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tokyo Journal of Mathematics 28
  
  Pages: 201-247
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] Blaschke Dupin hypersurfaces and equiaffine tubes2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Results in Mathematics 48
  
  Pages: 97-108
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] Actions of Hermann type and proper complex equivocal submanifolds2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Osaka Journal of Mathematics 42
  
  Pages: 599-611
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian isoparametric submanifolds2005
- Author(s)
  N.Koike
- Journal Title
  
  Tokyo J.Math. 28
  
  Pages: 201-247
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] Complex equivocal submanifolds and infinite dimensional anti-Kaehlerian isoparametric submanifolds2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tokyo Journal of Mathematics 28
  
  Pages: 201-247
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Results in Mathematics 47
  
  Pages: 69-92
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] Actions of Hermann type and proper complex equifocal submanifolds2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Osaka Journal of Mathematics 42
  
  Pages: 599-611
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] The Gauss-Bonnet and Chern-Lashof theorems in a simply connected symmetric space of compact type2005
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tokyo Journal of Mathematics 28
  
  Pages: 483-497
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540096
[Journal Article] Actions of Hermann type and proper complex equifocal submanifolds2005
- Author(s)
  N.Koike
- Journal Title
  
  Osaka J.Math. 42
  
  Pages: 599-611
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] On proper Fredholm submanifolds in a Hilbert space arising from submanifolds in a symmetric space2002
- Author(s)
  N.Koike
- Journal Title
  
  Japan J.Math. 28
  
  Pages: 61-80
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440025
[Presentation] Collapse of the regularized mean curvature flow for invariant hypersurfaces in a Hilbert space2017
- Author(s)
  Naoyuki Koike
- Organizer
  The 13th OCAMI-RIRCM Joint Differential Geometry Workshop on Submanifold Geometry and Lie Theory
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] ヒルベルト空間内のある種の不変超曲面を発する平均曲率流の崩壊について2017
- Author(s)
  Naoyuki Koike
- Organizer
  日本数学会2017年度会
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Volume-preserving mean curvature flow for tubes with boundary in symmetric spaces2016
- Author(s)
  Naoyuki Koike
- Organizer
  The First Japan-Taiwan Joint Conference on Differential Geometry & The 8th TIMS-OCAMI-Waseda Joint International Workshop on Differential Geometry and Geometric Analysis
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Volume-preserving mean curvature flow for tubes in rank one symmetric spaces of non-compact type2016
- Author(s)
  Naoyuki Koike
- Organizer
  RIMS研究集会「Regularity,　singularity　and　long　time　behavior　for　partial　differential　equations　with　conservation law
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] 階数1非コンパクト対称空間内のチューブを発する体積を保存する平均曲率流の長時間挙動2016
- Author(s)
  Naoyuki Koike
- Organizer
  日本数学会2016年度秋季総合分科会
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] 無限次元線形空間へのリフトを利用した平均曲率流の研究について2016
- Author(s)
  Naoyuki Koike
- Organizer
  Geometric flows and related problems
- Place of Presentation
  東京工業大学
- Year and Date
  2016-03-04
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Volume-preserving mean curvature flow for tubes in rank one symmetric space of non-compact type2016
- Author(s)
  Naoyuki Koike
- Organizer
  The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds and 12th OCAMI-RIRCM Joint Differential Geometry Workshop on Submanifolds and Lie Theory
- Place of Presentation
  Kyungpook National University, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] 平均曲率流に沿うcurvature-adapted性の保存性について2016
- Author(s)
  Naoyuki Koike
- Organizer
  日本数学会2016年度会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Volume-preserving mean curvature flow for tubes in symmetric spaces2016
- Author(s)
  Naoyuki Koike
- Organizer
  The 11th OCAMI-RIRCM Joint Differential geometry Workshop on Submanifolds and Lie theory
- Place of Presentation
  大阪市立大学
- Year and Date
  2016-03-20
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] 無限次元アンチケーラー等径部分多様体のバナッハリー群作用による等質性2015
- Author(s)
  Naoyuki Koike
- Organizer
  日本数学会2015年度会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-22
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] 対称空間内のチューブを発する体積を保存する平均曲率流2015
- Author(s)
  Naoyuki Koike
- Organizer
  日本数学会2015年度秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] リーマン多様体における平均曲率流の無限次元線形空間へのリフトについて2015
- Author(s)
  Naoyuki Koike
- Organizer
  第138回神楽坂幾何セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2015-11-28
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] 概自由なリー群作用をもつヒルベルト空間内の不変な超曲面を発する平均曲率流2014
- Author(s)
  小池直之
- Organizer
  日本数学会2014年度会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] ヒルベルト空間内の不変超曲面を発する正則化された平均曲率流2014
- Author(s)
  Naoyuki Koike
- Organizer
  部分多様体幾何とリー群作用2014
- Place of Presentation
  東京理科大学森戸記念館
- Year and Date
  2014-09-05
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] The Regularized Mean Curvature Folw for Invariant Hypersurfaces in a Hilbert Space with an Almost Free Lie Group Action2014
- Author(s)
  Naoyuki Koike
- Organizer
  RIMS研究集会「群作用と部分多様体論の展開」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-06-26
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] The mean curvature flow for a mean convex hypersurface2013
- Author(s)
  小池直之
- Organizer
  Mini International Workshop on Quaternionic hyperbｏｌｉｃ　ｓｐａｃｅ，　Ｏｓｓｅｒｍａｎｎ　４－ｍａｎｉｆｏｌｄｓ　ａｎｄ　ｍｅａｎ　ｃｕｒｖａｔure ｆｌｏｗ
- Place of Presentation
  Ｋｙｕｎｇｐｏｏｋ　Ｎａｔｉｏｎａｌ　Ｕｎｉｖｅｒｓｉｔｙ, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] The regularized mean curvature flow for an invariant hypersurface in a Hilbert space2013
- Author(s)
  小池直之
- Organizer
  Mini　International　Workshop　on　Quaternionic　hyperbｏｌｉｃ　ｓｐａｃｅ，　Ｏｓｓｅｒｍａｎｎ　４－ｍａｎｉｆｏｌｄｓ　ａｎｄ　ｍｅａｎ　ｃｕｒｖａｔure ｆｌｏｗ
- Place of Presentation
  Kyungpook National University, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Certain kind of isopara- metric submanifolds in symmetric spa- ces of non-compact type and Hermann actions2013
- Author(s)
  小池直之
- Organizer
  The 6th OCAMI-KNUGRG Joint Differentail Geometry Workshop on Sub- manifold Theory in Symmetric spaces and Lie theory in Finite and Infinite Dimensions
- Place of Presentation
  大阪市立大学
- Year and Date
  2013-02-02
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] The mean curvature flow for a complex equifocal submanifold2013
- Author(s)
  小池直之
- Organizer
  Mini　International　Workshop　on　Quaternionic　hyperbｏｌｉｃ　ｓｐａｃｅ，　Ｏｓｓｅｒｍａｎｎ　４－ｍａｎｉｆｏｌｄｓ　ａｎｄ　ｍｅａｎ　ｃｕｒｖａｔure ｆｌｏｗ
- Place of Presentation
  Ｋｙｕｎｇｐｏｏｋ　Ｎａｔｉｏｎａｌ　Ｕｎｉｖｅｒｓｉｔｙ, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Ｔｈｅ　ｍｅａｎ　ｃｕｒｖａｔｕｒｅ　ｆｌｏｗ　ｆｏｒ　ａ　ｃｏｎｖｅｘ　ｈｙｐｅｒｓｕｒｆａｃｅ2013
- Author(s)
  小池直之
- Organizer
  Mini　International　Workshop　on　Quaternionic　hyperbｏｌｉｃ　ｓｐａｃｅ，　Ｏｓｓｅｒｍａｎｎ　４－ｍａｎｉｆｏｌｄｓ　ａｎｄ　ｍｅａｎ　ｃｕｒｖａｔure ｆｌｏｗ
- Place of Presentation
  ＫｙｕｎｇｐｏｏｋＮａｔｉｏｎａｌ　Ｕｎｉｖｅｒｓｉｔｙ, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-25400076
[Presentation] Certain kind of isoparametric submanifolds in symmetric spaces of non-compact type and Hermann actions2013
- Author(s)
  小池直之
- Organizer
  The 6th OCAMI-KNUGRG Joint Differential Geometry Workshop　on Submanifold Theory in Symmetric spaces and Lie Theory in Finite and Infinite Dimensions
- Place of Presentation
  大阪市立大学
- Invited
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 非コンパクト型対称空間内のある種の等径超曲面の分類2013
- Author(s)
  小池直之
- Organizer
  日本数学会2013年度会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 非コンパクト型対称空間内のある種の等径部分多様体の分類2012
- Author(s)
  小池直之
- Organizer
  部分多様体の幾何とリー群作用 2012 (招待講演)
- Place of Presentation
  東京理科大学
- Year and Date
  2012-09-04
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 対称空間内の等径部分多様体を発する平均曲率流2012
- Author(s)
  小池直之
- Organizer
  広島幾何学研究集会 2012
- Place of Presentation
  広島大学
- Year and Date
  2012-10-04
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 対称空間における非等方的エネルギー汎関数および非等方的等径超曲面2012
- Author(s)
  小池直之
- Organizer
  日本数学会 2012年度会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 非コンパクト型対称空間内のある種の等径部分多様体の分類2012
- Author(s)
  小池直之
- Organizer
  部分多様体の微分幾何学及び関連課題-前田定廣先生還暦記念研究集会
- Place of Presentation
  佐賀大学
- Year and Date
  2012-08-04
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] Hermann型作用の主軌道の部分多様体幾何的特徴づけ2011
- Author(s)
  小池直之
- Organizer
  日本数学会2011年度会
- Place of Presentation
  早稲田大学
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] ヒルベルト空間内のある種の不変超曲面を発する平均曲率流について2011
- Author(s)
  小池直之
- Organizer
  日本数学会2011年度秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] ヒルベルト空間内のある種の不変超曲面を発する平均曲率流について,日本数学会2011
- Author(s)
  小池直之
- Organizer
  2011 年度秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] Collapse of the mean curva- ture flows of equifocal submanifolds and proper comlex equifocal submani- folds(招待講演)2010
- Author(s)
  小池直之
- Organizer
  The 2nd TIMS-OCAMI Joint International Workshop on Diffe- rential Geometry and Geometric Ana- lysis
- Place of Presentation
  National Tiwan University(台湾)
- Year and Date
  2010-03-21
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] Collapses of the mean curvature flows for equifocal submanifolds and proper complex equifocal submanifolds2010
- Author(s)
  小池直之
- Organizer
  第2回台大数学科学中心-大阪市立大学数学研究所共催国際ワークショップ「微分幾何学と幾何解析」
- Place of Presentation
  国立台湾大学
- Year and Date
  2010-03-21
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] プロパー複素等焦部分多様体を初期データにもつ平均曲率流2010
- Author(s)
  小池直之
- Organizer
  日本数学会 2010年度会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] On the indices of minimal orbits of Hermann actions2010
- Author(s)
  小池直之
- Organizer
  日本数学会2010年度秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] Homogeneity of an equifocal submanifold and a proper complex equifocal submanifold I, II2010
- Author(s)
  小池直之
- Organizer
  The 14^<th> International Workshop on Differential Geometry and The 3^<rd> KNUGRG-OCAMI Differential Geometry Workshop
- Place of Presentation
  Kyungpook National University(招待講演)
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] On equifocal submanifolds and complex equifocal submanifolds2010
- Author(s)
  小池直之
- Organizer
  Workshop on Hypersurfaces Geometry and Integrable systems
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] O n equifocal submanifolds and complex equifocal submanifolds2010
- Author(s)
  小池直之
- Organizer
  Workshop on Hypersurfaces Geometry and Integrable Systems
- Place of Presentation
  東北大学
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] Homogeneity of an equifocal submanifold and a proper complex equi- focal submanifold I,II2010
- Author(s)
  小池直之
- Organizer
  The 14th Inter- national Workshop on Differential Geo- metry and The 3rd KNUGRG-OCAMI Diffe- rential Geometry Workshop
- Place of Presentation
  Kyungpook National University(韓国)
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] Collapse of the mean curvature flow for equifocal submanifolds2009
- Author(s)
  小池直之
- Organizer
  大阪市立大学-慶北大学共催研究集会「部分多様体幾何学とリー群論」
- Place of Presentation
  大阪市立大学
- Year and Date
  2009-10-29
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 等焦部分多様体を初期データにもつ平均曲率流2009
- Author(s)
  小池直之
- Organizer
  京都大学数理解析研究所RIMS研究集会「部分多様体論とその周辺領域における新たな研究対象」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-23
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 等焦部分多様体を初期データにもつ平均曲率流2009
- Author(s)
  小池直之
- Organizer
  RIMS 研究集会「部分多様体論とその周辺領域における新たな研究対象」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-23
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 等焦部分多様体を初期データにもつ平均曲率流2009
- Author(s)
  小池直之
- Organizer
  日本数学会2009年秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 等焦部分多様体を初期データにもつ平均曲率流2009
- Author(s)
  小池直之
- Organizer
  2010 年度秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] The mean curvature flow for equifocal submanifolds2009
- Author(s)
  小池直之
- Organizer
  The 1st KNUGRG -OCAMI Differential Geometry Workshop
- Place of Presentation
  大阪市立大学
- Year and Date
  2009-10-29
- Data Source
  KAKENHI-PROJECT-21540095
[Presentation] 対称空間内の等径部分多様体と無限次元等径部分多様体2008
- Author(s)
  小池直之
- Organizer
  第55回幾何学シンポジウム
- Place of Presentation
  弘前大学
- Year and Date
  2008-08-24
- Data Source
  KAKENHI-PROJECT-17204006
[Presentation] Non-existence theorem of equifocal submnaifolds with non-flat section2008
- Author(s)
  Naoyuki, Koike
- Organizer
  Mathematical Society of Japan
- Place of Presentation
  Kinki University
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] Non-existence theorem of equifocal submanifolds with non-flat section2008
- Author(s)
  小池直之
- Organizer
  日本数学会2008年度会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] On non-existenceness of equifocal submanifolds with non-flat section2007
- Author(s)
  小池直之
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] On curvature-adapted and proper complex equifocal submanifolds2007
- Author(s)
  Naoyuki, Koike
- Organizer
  Mathematical Society of Japan
- Place of Presentation
  Tohoku University
- Year and Date
  2007-09-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] 擬リーマン多様体間の写像の複素化とアンチケーラー幾何2007
- Author(s)
  小池直之
- Organizer
  日本数学会2007年度会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-27
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] Isoparametric submanifolds in a Riemannian symmetric space of non-compact type and infinite dimensional anti-Kaehlerian geometry2007
- Author(s)
  小池直之
- Organizer
  大阪市立大学数学研究所微分幾何学ワークショップ「部分多様体の幾何学における有限次元および無限次元リー理論的方法」
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-10-01
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] The complexification of a map between pseudo-Riemanninan manifolds and anti-Kaehlerian geometry2007
- Author(s)
  Naoyuki, Koike
- Organizer
  Mathematical Society of Japan
- Place of Presentation
  Saitama University
- Year and Date
  2007-03-27
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] Isoparametric submanifolds in a Riemannian symmetric space of non-compact type and infinite dimensional anti-Kaehlerian geometry2007
- Author(s)
  Naoyuki, Koike
- Organizer
  Workshop in finite dimensional and infinite dimensional Lie theoretic methods in submanifold geometry
- Place of Presentation
  Osaka City University
- Year and Date
  2007-10-01
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] On non-existenceness of equifocal submnaifolds with non-flat section2007
- Author(s)
  Naoyruki, Koike
- Organizer
  Mathematical Society of Japan
- Place of Presentation
  Tohoku University
- Year and Date
  2007-09-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540099
[Presentation] The Regularized Mean Curvature Flow for Invariant Hypersurfaces in a Hilbert Space
- Author(s)
  Naoyuki Koike
- Organizer
  Seoul ICM 2014 (International Congress of Mathematicians)-Satellite　Conference on Real and Complex Submanifolds
- Place of Presentation
  National Institute for Mathematical Science, Korea
- Year and Date
  2014-08-10 – 2014-08-12
- Invited
- Data Source
  KAKENHI-PROJECT-25400076

1. OHNITA Yoshihiro (90183764)

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31. 高坂良史 (00360967)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 石井克幸 (40232227)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 山田澄生 (90396416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 水野将司 (80609545)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 神保秀一 (80201565)

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# of Collaborated Products: 0 results
36. KAJIGAYA Toru (20749361)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. HASHIMOTO Kaname (10647837)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KOIKE Naoyuki 小池 直之

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Research of submanifolds in symmetric spaces and their time evolution along various curvature flowsPrincipal InvestigatorOngoing

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New Development of Submanifold Geometry and Harmonic Map Theory in Symmetric Spaces

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Promotion of the study of curves, surfaces and hypersurfaces with singularities from the view point of differential geometryOngoing

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Research of submanifolds and mean curvature flows in symmetric spaces by using the infinite dimensional geometry and the complexificationPrincipal Investigator

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Variational analysis on dynamic geometric problemsOngoing

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Research on submanifold geometry and harmonic map theory in symmetric spaces

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Research of submanifolds in symmetric spaces by usingthe infinite dimensional geometry and the complexificationPrincipal Investigator

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A research on functional identitiesand noncommutative geometry bydeformation quantization

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Research of submanifolds in a symmetric space by using infinite dimensional geometryPrincipal Investigator

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Research on Submanifold Theory via Infinite Dimensional Methods

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Research on Noncommutative Geometry by deformation quantization

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Differential geometry of harmonic maps, minimal submanifolds and Yang-Mills-Higgs equations

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[Journal Article] The mean curvature flow for invariant hypersurfaces in a Hilbert space with an almost free group action2017

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KOIKE Naoyuki 小池直之