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KOIKE Naoyuki  小池 直之

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小池 直之  コイケ ナオユキ

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Researcher Number 00281410
Other IDs
Affiliation (Current) 2022: 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 2022: 東京理科大学, 理学部, 教授
2016 – 2020: 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 … More
2012: 東京理科大学, 理学部第一部数学科, 准教授
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 / Geometry / Mathematical analysis
Keywords
Principal Investigator
平均曲率流 / 対称空間 / 部分多様体幾何 / 無限次元幾何 / 幾何学 / 等焦部分多様体 / Polar作用 / 等径部分多様体 / リ-群作用 / 複素化 … More / リー群作用 / 部分多様体の複素化 / 無限次元等径部分多様体 / 対称空間の複素化 / 体積を保存する平均曲率流 / 正則化された平均曲率流 / ヒルベルト空間 / 無限次元部分多様体幾何 / 微分幾何 / 微分幾可学 / Differential Geoimetry / 固有フレッドホルム部分多様体 / カラビ・ヤウ多様体 / 特殊ラグランジュ部分多様体 / ゲージ理論 / 部分多様体 / 逆平均曲率流 / Kac-Moody型無限次元対称空間 … More
Except Principal Investigator
微分幾何学 / 調和写像 / 極小部分多様体 / 部分多様体 / 可積分系 / モジュライ空間 / deformation quantization / ラグランジュ部分多様体 / 幾何学 / 曲面 / 非可換幾何学 / star product / noncommutative geometry / Poisson geometry / symplectic geometry / 対称空間 / 特異点 / (A)微分幾何 / 関数論 / 量子化 / 数理物理学 / quantization / poisson geometry / 部分多様体論 / 等径超曲面 / リー理論 / ヤン・ミルズ・ヒッグス方程式 / Yang-Mills-Higgs方程式 / differential geometry / harmonic map / minimal submanifold / Yang-Mills-Higgs equation / moduli space / Lagrange submanifold / 変形量子化 / Deformation Quantization / シンプレクティック幾何学 / ポアソン幾何学 / 量子力学 / 超曲面 / 極大曲面 / ガウス曲率 / 半正定値計量 / 曲線 / 波面 / 等径部分多様体 / リー群 / フレアーホモロジー / 等質空間 / 平均曲率流 / 変分問題 / 極小曲面 / 幾何学的測度論 / 正則性 / 変分法 Less
  • Research Projects

    (13 results)
  • Research Products

    (142 results)
  • Co-Researchers

    (41 People)
  •  平均曲率流とリー群作用を用いた部分多様体の研究,及び理論物理への応用Principal 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
      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 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

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2002 Other

All Journal Article Presentation Book

  • [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] 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

    • URL

      http://hdl.handle.net/11094/73746

    • 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 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

      Goematriae Dedicata

      Volume: 194 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 Pages: 13-30

    • DOI

      10.4067/s0719-06462018000300013

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03311
  • [Journal Article] A modified mean curvature ow in Euclidean space and soap bubbles in symmetirc spaces2018

    • Author(s)
      Naoyuki Koike
    • Journal Title

      Goematriae Dedicata

      Volume: 195 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 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, Springer Proceedings in Mathematics & Statistics

      Volume: 215 Pages: 83-103

    • DOI

      10.1007/978-3-319-66764-5_5

    • 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 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 ow 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 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

    • 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

    • 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] 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
      Kyungpook National 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
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