Koike Naoyuki 小池直之

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KOIKE Naoyuki 小池直之

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Researcher Number	00281410
Other IDs	https://orcid.org/0000-0002-3065-2961
Affiliation (Current)	2024: 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	2016 – 2022: 東京理科大学, 理学部第一部数学科, 教授 2017 – 2018: 東京理科大学, 理学部, 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 2012: 東京理科大学, 理学部第一部数学科, 准教授 … More 2005 – 2007: 東京理科大学, 理学部, 講師 2003: 東京理科大学, 理学部数学科, 講師 2002 – 2003: 東京理科大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Mathematical analysis / Geometry
Keywords	Principal Investigator 平均曲率流 / 等径部分多様体 / 対称空間 / 特殊ラグランジュ部分多様体 / カラビ・ヤウ構造 / ゲージ理論 / Polar作用 / 等焦部分多様体 / リー群作用 / 幾何学 … More / 無限次元幾何 / 部分多様体幾何 / Kac-Moody型無限次元対称空間 / 逆平均曲率流 / 部分多様体 / カラビ・ヤウ多様体 / 固有フレッドホルム部分多様体 / 複素等焦部分多様体 / Differential Geoimetry / 微分幾可学 / 微分幾何 / 無限次元部分多様体幾何 / ヒルベルト空間 / 正則化された平均曲率流 / 体積を保存する平均曲率流 / 対称空間の複素化 / 無限次元等径部分多様体 / 部分多様体の複素化 / 複素化 / リ-群作用 … More Except Principal Investigator 微分幾何学 / 極小部分多様体 / 調和写像 / ラグランジュ部分多様体 / deformation quantization / モジュライ空間 / 可積分系 / 部分多様体 / 特異点 / 対称空間 / symplectic geometry / Poisson geometry / noncommutative geometry / star product / 非可換幾何学 / 曲面 / 幾何学 / 変分法 / 正則性 / 幾何学的測度論 / 極小曲面 / 変分問題 / 平均曲率流 / 等質空間 / フレアーホモロジー / リー群 / 等径部分多様体 / 波面 / 曲線 / 半正定値計量 / ガウス曲率 / 極大曲面 / 超曲面 / 量子力学 / ポアソン幾何学 / シンプレクティック幾何学 / Deformation Quantization / 変形量子化 / Lagrange submanifold / moduli space / Yang-Mills-Higgs equation / minimal submanifold / harmonic map / differential geometry / Yang-Mills-Higgs方程式 / ヤン・ミルズ・ヒッグス方程式 / リー理論 / 等径超曲面 / 部分多様体論 / poisson geometry / quantization / 数理物理学 / 量子化 / 関数論 / (A)微分幾何 Less

Research of submanifolds by using the mean curvature flow and Lie group actions, and its application to theoretical physicsPrincipal Investigator
- Principal Investigator
  
  小池直之
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo University of Science
Research of submanifolds in symmetric spaces and their time evolution along various curvature flowsPrincipal Investigator
- Principal Investigator
  
  Koike Naoyuki
- 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 geometry
- Principal Investigator
  
  UMEHARA MASAAKI
- 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 problems
- Principal Investigator
  
  TONEGAWA Yoshihiro
- 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

[Book] 積分公式で啓くベクトル解析と微分幾何学 - ストークスの定理から変分公式まで -2022
- Author(s)
  小池直之
- Total Pages
  385
- Publisher
  共立出版
- ISBN
  9784320114753
- Data Source
  KAKENHI-PROJECT-22K03300
[Book] 理論物理に潜む部分多様体幾何2021
- Author(s)
  小池直之
- Total Pages
  440
- Publisher
  共立出版
- ISBN
  9784320114401
- Data Source
  KAKENHI-PROJECT-18K03311
[Book] 平均曲率流-部分多様体の時間発展-2019
- Author(s)
  小池直之
- Total Pages
  376
- Publisher
  共立出版
- ISBN
  9784320113763
- Data Source
  KAKENHI-PROJECT-18K03311
[Journal Article] Isoparametric submanifolds in Hilbert spaces and holonomy maps2023
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Illinois Journal of Mathematics
  
  Volume: 67 Issue: 1 Pages: 153-170
- DOI
  10.1215/00192082-10450471
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03300
[Journal Article] CLASSIFICATION OF ISOPARAMETRIC SUBMANIFOLDS ADMITTING A REFLECTIVE FOCAL SUBMANIFOLD IN SYMMETRIC SPACES OF NON-COMPACT TYPE2020
- Author(s)
  Koike Naoyuki
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 57 Issue: 1 Pages: 207-246
- DOI
  10.18910/73746
- NAID
  120006786533
- ISSN
  00306126
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03311
[Journal Article] Calabi-Yau structures and special Lagrangian submanifolds of complexified symmetric spaces2019
- Author(s)
  Koike Naoyuki
- Journal Title
  
  Illinois Journal of Mathematics
  
  Volume: 63 Issue: 4 Pages: 575-600
- DOI
  10.1215/00192082-8018607
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03311
[Journal Article] Gauss maps of the Ricci-mean curvature flow2018
- Author(s)
  Naoyuki Koike, Hikaru Yamamoto
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 194 Issue: 1 Pages: 169-185
- DOI
  10.1007/s10711-017-0271-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H07229, KAKENHI-PROJECT-18K03311, KAKENHI-PROJECT-25247008
[Journal Article] Mean curvature flow of certain kind of isoparametric foliation on non-compact symmetric spaces2018
- Author(s)
  Naoyuki Koike
- Journal Title
  
  CUBO A Mathematical Journal
  
  Volume: 20 Issue: 3 Pages: 13-30
- DOI
  10.4067/s0719-06462018000300013
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03311
[Journal Article] A modified mean curvature flow in Euclidean space and soap bubbles in symmetric spaces2018
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 195 Issue: 1 Pages: 1-17
- DOI
  10.1007/s10711-017-0273-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03311, KAKENHI-PROJECT-25247008
[Journal Article] The mean curvature ow 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 Issue: 5 Pages: 953-980
- DOI
  10.4310/ajm.2017.v21.n5.a7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25247008
[Journal Article] Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles2017
- Author(s)
  Ishii K.、Kamata H.、Koike S.
- Journal Title
  
  Mathematics for Nonlinear Phenomena: Analysis and Computation
  
  Volume: 215 Pages: 83-103
- DOI
  10.1007/978-3-319-66764-5_5
- ISBN
  9783319667621, 9783319667645
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05364, KAKENHI-PROJECT-25247008, KAKENHI-PROJECT-16H03946
[Journal Article] Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds II2017
- Author(s)
  Naoyuki Koike
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 40 Issue: 2 Pages: 301-336
- DOI
  10.3836/tjm/1502179231
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25247008
[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 Issue: 3 Pages: 1-51
- DOI
  10.1007/s00526-017-1156-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400076, KAKENHI-PROJECT-25247008
[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
- NAID
  130005103466
- 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
- NAID
  130007953687
- 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
- NAID
  130004948997
- 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 Pages: 103-113
- 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
- NAID
  120006309485
- 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
- NAID
  120005986773
- 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
- NAID
  130004948989
- 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
- NAID
  130004948989
- 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)
- NAID
  130004948989
- 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
- NAID
  120005986773
- 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)
- NAID
  120005986773
- 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
- NAID
  130004948989
- 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
- NAID
  120005986773
- 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
- NAID
  130004948989
- 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
- NAID
  110004762690
- 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
- NAID
  110004762690
- 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
- NAID
  110004762690
- 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
- NAID
  120005986865
- 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
- NAID
  120005986865
- 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
- NAID
  10015754160
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440025
[Presentation] 正則化された平均曲率流のゲージ理論への応用について2022
- Author(s)
  小池直之
- Organizer
  RIMS共同研究ー部分多様体論と幾何解析の新展開
- Invited
- Data Source
  KAKENHI-PROJECT-22K03300
[Presentation] The existence and the uniqueness of regularized mean curvature flows2021
- Author(s)
  Naoyuki Koike
- Organizer
  International Workshop on Geometric Evolution Equations and Related Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] Calabi-Yau structures and Special Lagrangian submanifolds of complexified symmetric spaces2020
- Author(s)
  Naoyuki Koike
- Organizer
  The 18th OCAMI-RIRCM Joint Differential Geometry Workshop ``Differential Geometry of Submanifolds in Symmetric Spaces and Related Problems’’(日本学術振興会　二国間交流事業韓国 (NRF) )
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] Regularized　mean curvature flow in a Hilbert space and its application to the gauge theory2019
- Author(s)
  小池直之
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] Regularized mean curvature flow in a Hilbert space and its application to the Gauge theory2019
- Author(s)
  Naoyuki Koike
- Organizer
  Symmetry and Shape (Celebrating the 60th birthday of Prof. J. Berndt)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] Isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type2019
- Author(s)
  Naoyuki Koike
- Organizer
  Workshop on the isoparametric theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] Regularized mean curvature flow in a Hilbert space and its application to the Gauge theory2019
- Author(s)
  Naoyuki Koike
- Organizer
  The 22 Workshop on Differential Geometry of Submanifolds in Symmetric Spaces and The 17th RIRCM-OCAMI Joint Differential Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] Regularized mean curvature flow in a Hilbert space and its application to the gauge theory2019
- Author(s)
  Naoyuki Koike
- Organizer
  RIMS研究集会「非線形偏微分方程式における定性的理論」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03311
[Presentation] 階数1対称空間内のあるピンチング条件を満たす部分多様体を発する平均曲率流,2017
- Author(s)
  小池直之
- Organizer
  第64回幾何学シンポジウム（金沢大学、石川県）
- Invited
- Data Source
  KAKENHI-PROJECT-25247008
[Presentation] 大仁田の指数公式のあるHermann作用の特別な軌道への拡張2017
- Author(s)
  小池直之
- Organizer
  部分多様体論・湯沢2017（湯沢グランドホテル、新潟県）
- Invited
- Data Source
  KAKENHI-PROJECT-25247008
[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 an 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 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
- 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
- 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] 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
  部分多様体幾何とリー群作用2012
- Place of Presentation
  東京理科大学
- 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] 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] プロパー複素等焦部分多様体と平坦な切断をもつ等径部分多様体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] 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] 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] The complexification of a Riemannian symmetric space and Hermann type action2008
- 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
- 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] The complexification of a Riemannian symmethric space and Hermann type action2008
- 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] The complexification of a Riemannian symmetric space and Hermann type action2008
- 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] 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] プロパー複素等焦部分多様体の完備な複素化の構成法とその構造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] A construction of the complete complexification of a proper complex equifocal submanifold and its structure2007
- 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] 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] On curvature-adapted and proper complex equifocal submanifolds2007
- 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] 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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2. GUEST Martin (10295470)

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3. SAKAI Takashi (30381445)

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39. WICKRAMASEKERA Neshan

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40. 山本光

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Koike Naoyuki 小池 直之

KOIKE Naoyuki 小池 直之

Research Projects

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Co-Researchers

Research of submanifolds by using the mean curvature flow and Lie group actions, and its application to theoretical physicsPrincipal Investigator

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

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

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

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[Book] 積分公式で啓くベクトル解析と微分幾何学 - ストークスの定理から変分公式まで -2022

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Koike Naoyuki 小池直之

KOIKE Naoyuki 小池直之