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Nakauchi Nobumitsu  中内 伸光

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NAKAUCHI Nobumitsu  中内 伸光

中内 伸光

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Researcher Number 50180237
Other IDs
Affiliation (Current) 2025: 山口大学, その他部局等 , 名誉教授
Affiliation (based on the past Project Information) *help 2017 – 2023: 山口大学, 大学院創成科学研究科, 教授
2016: 山口大学, 創成科学研究科, 教授
2011 – 2015: 山口大学, 理工学研究科, 教授
2014: 山口大学, 大学院理工学研究科, 教授
2007 – 2010: Yamaguchi University, Graduate School of Science and Engineering, Associate Professor … More
2007: 山口大学, 理学部, 准教授
2006: Yamaguchi University, Graduate School of Sci.and Eng., Associate Proffesor, 大学院理工学研究科, 助教授
1995 – 2005: 山口大学, 理学部, 助教授
1990 – 1994: 山口大学, 理学部, 助手
1988: 山口大学, 理学部, 助手
1986: 山口大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Basic Section 11020:Geometry-related / Global analysis / 解析学 / Geometry
Except Principal Investigator
Geometry / Geometry / 解析学 / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Global analysis / Basic analysis
Keywords
Principal Investigator
変分問題 / variational problem / p-調和写像 / C-stationary map / symphonic map / pullback / 共形幾何構造 / n-調和写像 / n-harmonic map / 多様体 … More / Riemannian manifold / harmonic map / p-harmonic map / 共形写像 / 楕円型方程式 / conformal map / 非線型方程式 / 微分方程式 / Riemannain manifold / 共形構造 / C-staionary map / symphonic flow / metric / weakly conformal map / elliptic equation / global analysis / Concentration phenomenon / 大域解析学 / 調和写像 / manifold / conformal structure / 等角写像 / conformal geometric structure / バブリング / コンセントレーション・コンパクトネス … More
Except Principal Investigator
グラスマン幾何 / 対称空間 / 部分多様体 / 情報幾何学 / affine differential geometry / Grassmann geometry / リー群 / オイラー標数 / リー理論 / 等質空間 / 双対接続 / リーマン幾何 / 不動点多様体 / fibring over the circle / G多様体 / SK群 / cut-and-paste / アファイン微分幾何学 / Codazzi構造 / Hesse構造 / Hesse計量 / 左不変計量 / information geometry / Codazzi structure / 射影的平坦接続 / homotopy / singularities / オイラー類 / Borsuk-Ulamの定理 / Lie algebra / totally geodesic submanifold / submanifold / symmetric space / リー代数 / 全測地的部分多様体 / 同変写像 / 曲面論 / 幾何学 / 偏微分方程式 / 境界要素法 / 有限要素法 / 特異解 / 亀裂 / タイヒミュラー空間 / 等角写像 / リーマン面 / 有界対称領域 / Hessian多様体 / 臨界軌道型 / 臨界軌道 / 対称部分多様体 / 崩壊理論 / 薄滑解析(Nonsmooth Analysis) / 沈め込み / 薄滑解析(Nonsmooth analysis) / 微分球面定理 / 微分構造 / 折り紙 / 球面定理 / 異種構造 / 大域リーマン幾何学 / 薄滑解析 / 最小跡 / Groveと塩濱の臨界点理論 / Reebの球面定理 / 異種球面 / リプシッツ写像 / 薄滑解析(Nonsmooth Analysis) / 大域リーマン幾何 / 等質部分多様体 / 準線形偏微分方程式 / リーマン対称空間 / 微分幾何 / normal representation / Euler characteristic / characteristic number / fixed points submanifold / G-manifold / transformation group theory / cut and paste / 法表現 / 特性数 / 変換群論 / unimndnlar Lie noun / surface / left invariant metric / Liegroup / homogeneous space / リー郡 / ユニモジュラーリー群 / 曲面 / Information geometry / dual connections / Codazzi structures / Hessian manifolds / Hessian structures / Hessian metrics / 平坦接続 / Kaehler幾何学 / Hesse多様体 / cobordism / Euler characteristics / fixed points / G-manifolds / SK-group / SK-equivalence / コボルディズム / 接表現 / Smith同値 / コポルディズム / 不動点 / SK同値 / family of probability distributions / Kahler geometry / Hessian structure / Hessian metric / Kahler幾何学 / Fisher情報計量 / 確率分布族 / symmetric R-space / Jordan algebra / Lie group / symmetric submanifold / コンパクトLie群 / ジョルダン三項対 / 対称R-空間 / ジョルダン代数 / fundamental solution / Cauchy problem / harmonic map / dynamical system / scattering theory / variational problem / asymptotic behavior / differntial equation / Cauchy問題 / 非線形問題 / 基本解 / コーシー問題 / 調和写像 / 力学系 / 散乱理論 / 変分問題 / 漸近挙動 / 微分方程式 / dual connection / Kahler manifold / Hessian manifold / Hessian構造 / 双対構造 / Kahler多様体 / partial differential equation / numerical analysis / finite element method / singular solution / fracture mechanics / 2-dimensional crack / 数値解析 / 二次元亀裂 / 破壊力学 / 2次元亀裂 / manifolds / holomorphic / smooth maps / obstruction / smooth map / ホモトピー / 写像 / 微分可能性 / 特異点 / mapping degree / equivariant maps / Euler class / representation ring / equivariant K-theory / Borsuk-Ulam theorem / トーラス作用 / 同変K理論 / 写像度 / 周変写像 / 表現環 / 周変K理論 / partial differential equation of 1st order / 一階偏微分方程式系 / ユニタリ表現 / 積分表示 / 調和関数 / メービウス反転 / レフシェッツ数 / 不動点指数 / 微分幾何学 / 関数方程式の大域理論 / 非線形現象 / 多様体上の解析 / 塑性論 / 弾性論 / 破壊 / モデュライ / 双曲的長さ / 極値的長さ / 双曲計量 / 正則写像 / 調和解析 / 表現 / Lie群 / LSカテゴリー / 臨界点 / 可微分関数 / 等長変換群 / コントラスト関数 / 不変関数 / 群作用 / 臨界値 / 同変臨界点論 / Gauss写像 / Lie代数 / コンバクト対称空間 / 平面代数曲線 / Weierstrass点 / 有理型函数 / 閉リ-マン面 Less
  • Research Projects

    (39 results)
  • Research Products

    (36 results)
  • Co-Researchers

    (47 People)
  •  共形写像に関連する変分問題と計量のpullbackに関する変分問題の研究Principal Investigator

    • Principal Investigator
      中内 伸光
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Yamaguchi University
  •  A variational problem on conformality of maps and a variational problem on pullbacks of metricsPrincipal Investigator

    • Principal Investigator
      Nakauchi Nobumitsu
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Yamaguchi University
  •  The application of nonsmooth analysis to the collapsing theory and exotic structure

    • Principal Investigator
      KONDO Kei
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Okayama University
      Yamaguchi University
  •  A construction of the thery of homogeneous surfaces in Riemannian symmetric spaces

    • Principal Investigator
      Naitoh Hiroo
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Research on a variational problem related to conformal maps and a variational problem of pullback of metricsPrincipal Investigator

    • Principal Investigator
      Nakauchi Nobumitsu
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  a variational problem with respect to conformal maps and a variational problem for pullbacks of metricsPrincipal Investigator

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Grassmann geomety of surfaces in a Riemannian symmetric space

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Riemannian homogeneous spaces and their Grassmann geometry

    • Principal Investigator
      NAITO Hiroo
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Research for asymptotic behavior of solutions of nonlinear differential equations

    • Principal Investigator
      TAKAKUWA Shoichiro
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  n-harmonic maps and conformal structures on Riemannian manifoldsPrincipal Investigator

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Study on submanfolds of homogeneous spaces from the view of orbital Grassmann geometry

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Study on characteristic numbers of G-manifolds and its fixed points submanifolds

    • Principal Investigator
      KOMIYA Katsuhiro
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Research on families of fixed point sets of G-manifolds in transformation group theory

    • Principal Investigator
      KOMIYA Katsuhiro
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Hessian Geometry and Information Geometry

    • Principal Investigator
      SHIMA Hirohiko
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  n-harmonic maps and geometries of conformal structures on Riemannian manifoldsPrincipal Investigator

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Study on the geometry of symmetric spaces and their totally geodesic submanifolds

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  DIFFERENTIAL GEOMETRY OF HESSIAN STRUCTURES AND ITS APPLICATIONS TO INFORMATION GEOMETRY

    • Principal Investigator
      SHIMA Hirohiko
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  n-harmonic maps with applications to geometry of conformal structures on manifoldsPrincipal Investigator

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Study of asymptotic behavior of solutions of differential equations

    • Principal Investigator
      TAKAKUWA Shoichiro
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  破壊の数理モデルのコード化

    • Principal Investigator
      三好 哲彦
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yamaguchi University
  •  リーマン面上の極値的長さ、双曲的長さとモデュライ問題

    • Principal Investigator
      増本 誠
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Differential Geometry and Information Geometry II

    • Principal Investigator
      SHIMA Hirohiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  n-harmonic maps and conformal structures on manifoldsPrincipal Investigator

    • Principal Investigator
      NKAUCHI Nobumitsu
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Study on Submanifold Theory of Compact Riemannian Symmetric Spaces

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Transformation Group Theory and Critical Point Theory

    • Principal Investigator
      KOMIYA Katsuhiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Global properties of singularities

    • Principal Investigator
      ANDO Yoshifumi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Mathematical Modeling and Mathematical Analysis of Fracture

    • Principal Investigator
      MIYOSHI Tetsuhiko
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yamaguchi University
  •  リーマン面間の正則写像の研究

    • Principal Investigator
      増本 誠
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  変換群論と臨界点論の研究

    • Principal Investigator
      小宮 克弘
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Lie群の表現と等質空間上の調和解析

    • Principal Investigator
      井上 透
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  対称空間の部分多様体とグラスマン幾何の研究

    • Principal Investigator
      内藤 博夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  多様体上の変分問題と微分方程式の研究Principal Investigator

    • Principal Investigator
      中内 伸光
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  微分幾何学と情報幾何学

    • Principal Investigator
      志磨 裕彦
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  多様体上の変分問題と付随する微分方程式の解の研究Principal Investigator

    • Principal Investigator
      中内 伸光
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  不動点理論と変換群論の研究

    • Principal Investigator
      小宮 克弘
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University
  •  対称空間の部分多様体の研究

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University
  •  リ-マン面上の有理型函数とワイエルストラス点の研究

    • Principal Investigator
      KATO Takao
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  Lie群の表現と等質空間上の調和解析

    • Principal Investigator
      井上 透
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  多様体と群作用の研究

    • Principal Investigator
      小宮 克弘
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yamaguchi University

All 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013 2012 2011 2003

All Journal Article Presentation

  • [Journal Article] On the finite-time blow-up of symphonic map flows2023

    • Author(s)
      Masashi Misawa and Nobumitsu Nakauchi
    • Journal Title

      Differential and Integral Equations

      Volume: 36 Pages: 93-131

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03290
  • [Journal Article] A family of examples of harmonic maps into the sphere with one point singularity2023

    • Author(s)
      Nobumitsu Nakauchi
    • Journal Title

      Examples and Counterexamples

      Volume: 3 Pages: 100107-100107

    • DOI

      10.1016/j.exco.2023.100107

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22K03290
  • [Journal Article] Two results for symphonic maps under assumptions on m-symphonic energy2022

    • Author(s)
      Nobumitsu Nakauchi
    • Journal Title

      Results in Mathematics

      Volume: 77 Issue: 6

    • DOI

      10.1007/s00025-022-01741-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03290
  • [Journal Article] Two examples of harmonic maps into spheres2022

    • Author(s)
      Misawa Masashi, Nakauchi Nobumitsu
    • Journal Title

      Advances in Geometry

      Volume: 22 Issue: 1 Pages: 23-31

    • DOI

      10.1515/advgeom-2021-0008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03280, KAKENHI-PROJECT-18K03375
  • [Journal Article] Rotationally symmetric symmphonic maps2022

    • Author(s)
      Nobumitsu Nakauchi
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 62 Issue: 1 Pages: 83-92

    • DOI

      10.1007/s10455-022-09840-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03290
  • [Journal Article] Conformality of rotationally symmetric maps2022

    • Author(s)
      Nobumitsu Nakauchi
    • Journal Title

      Journal of Geometry and Physics

      Volume: 179 Pages: 104575-104575

    • DOI

      10.1016/j.geomphys.2022.104575

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03290
  • [Journal Article] Regularity of the m-symphonic map2021

    • Author(s)
      Masashi Misawa and Nobumitsu Nakauchi
    • Journal Title

      SN Partial Differential Equations and Applications

      Volume: 2 Issue: 2

    • DOI

      10.1007/s42985-021-00074-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03280, KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03375
  • [Journal Article] Stress energy tensor of C-stationary maps2019

    • Author(s)
      Nobumitsu Nakauchiu
    • Journal Title

      Journal of Geometry and Physics

      Volume: 137 Pages: 217-227

    • DOI

      10.1016/j.geomphys.2018.12.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03280
  • [Journal Article] Stress energy tensor for symphonic maps2019

    • Author(s)
      Nobumitsu Nakauchiu
    • Journal Title

      Bollettino dell'Unione Matematica Italiana

      Volume: 12 Issue: 3 Pages: 431-440

    • DOI

      10.1007/s40574-018-0168-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03280
  • [Journal Article] Liouville type theorem for symphonic maps2019

    • Author(s)
      Shigeo Kawai and Nobumitsu Nakauchi
    • Journal Title

      Differential Geometry and its Applications

      Volume: 65 Pages: 147-159

    • DOI

      10.1016/j.difgeo.2019.03.009

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03280
  • [Journal Article] Global existence for the heat flow of symphonic maps into spheres2018

    • Author(s)
      Masashi Misawa, Nobumitsu Nakauchi
    • Journal Title

      Advances in Differential Equations

      Volume: 23 Pages: 693-724

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05220
  • [Journal Article] Remarks on weakly stationary maps into spheres2018

    • Author(s)
      Masashi Misawa, Nobumitsu Nakauchi
    • Journal Title

      Rend. Circ. Mat. Palermo, II. Ser

      Volume: 印刷中 Issue: 1 Pages: 227-236

    • DOI

      10.1007/s12215-018-0350-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03375, KAKENHI-PROJECT-16K05133, KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03280
  • [Journal Article] Polyharmonic maps into the Euclidean space2018

    • Author(s)
      Nobumitsu Nakauchi, Hajime Urakawa
    • Journal Title

      Note di Matematica

      Volume: 38 Pages: 89-100

    • DOI

      10.1285/i15900932v38n1p89

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05220, KAKENHI-PROJECT-18K03280
  • [Journal Article] Global existence for the heat flow of symphonic maps into spheres2018

    • Author(s)
      Masashi Misawa and Nobumitsu Nakauchi
    • Journal Title

      Advances in Differential Equations

      Volume: 23 Pages: 693-724

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03280
  • [Journal Article] A Holder continuity of symphonic maps into the spheres2016

    • Author(s)
      Masashi Misawa and Nobumitsu Nakauchi
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 55 Issue: 1

    • DOI

      10.1007/s00526-015-0940-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04846, KAKENHI-PROJECT-15K04962
  • [Journal Article] Stability of stationary maps of a functional related to pullbacks of metrics2016

    • Author(s)
      Shigeo Kawai and Nobumitsu Nakauchi
    • Journal Title

      Differential Geometry and its Applications

      Volume: 44 Pages: 161-177

    • DOI

      10.1016/j.difgeo.2015.11.005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04846, KAKENHI-PROJECT-16K05133
  • [Journal Article] Bubbling phenomena of biharmonic maps2015

    • Author(s)
      Nobumitsu Nakauchi and Hajime Urakawa
    • Journal Title

      Journal of Geometry and Physics

      Volume: 98 Pages: 355-375

    • DOI

      10.1016/j.geomphys.2015.07.013

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04846
  • [Journal Article] Triharmonic isometric immersions into a manifold of non-positively constant curvature2015

    • Author(s)
      Shun Maeda, Nobumitsu Nakauchi and Hajime Urakawa
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 177 Pages: 551-567

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04846
  • [Journal Article] Symphonic join of maps between the spheres2014

    • Author(s)
      Nobumitsu Nakauchi and Shoichiro Takakuwa
    • Journal Title

      Nonlinear Analysis

      Volume: 108 Pages: 87-98

    • DOI

      10.1016/j.na.2014.05.012

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540213
  • [Journal Article] Biharmonic submanifolds in a Riemannian manifold with non-positive curvature2013

    • Author(s)
      H. Urakawa and N. Nakauchi
    • Journal Title

      Results Math

      Volume: Vol. 63 Issue: 1-2 Pages: 467-474

    • DOI

      10.1007/s00025-011-0209-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540207, KAKENHI-PROJECT-23540091, KAKENHI-PROJECT-24540213
  • [Journal Article] Biharmonic hypersurfaces in a Riemannian manifold with non-positive curvature2013

    • Author(s)
      H.Urakawa and N. Nakauchi
    • Journal Title

      Ann. Global Anal. Geom

      Volume: Vol. 40 Issue: 2 Pages: 125-131

    • DOI

      10.1007/s10455-011-9249-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540207, KAKENHI-PROJECT-23540091
  • [Journal Article] Biharmonic maps into a Riemannian manifold of non-positive curvature2013

    • Author(s)
      Hajime Urakawa
    • Journal Title

      Geometriae Dedicata

      Volume: 164 Issue: 1 Pages: 1-10

    • DOI

      10.1007/s10711-013-9854-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540207, KAKENHI-PROJECT-24540213
  • [Journal Article] Weak conformality of stable stationary maps for a functional related to conformality2013

    • Author(s)
      Shigeo Kawai and Nobumitsu Nakauchi
    • Journal Title

      Differential Geometry and its Applications

      Volume: 31 Issue: 2 Pages: 151-165

    • DOI

      10.1016/j.difgeo.2012.11.002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540091, KAKENHI-PROJECT-24540213
  • [Journal Article] Holder continuity of minimizing symphonic maps2012

    • Author(s)
      M. Misawa, N. Nakauchi
    • Journal Title

      Nonlinear Anal.

      Volume: 75 Issue: 15 Pages: 5971-5974

    • DOI

      10.1016/j.na.2012.06.010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540180, KAKENHI-PROJECT-24540213, KAKENHI-PROJECT-24540215
  • [Journal Article] Some results for stationary maps of a functional related to pullback etrics2011

    • Author(s)
      Kawai Shigeo, Nakauchi Nobumitsu
    • Journal Title

      Nonlinear Analysis Vol.74

      Pages: 2284-2295

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540078
  • [Journal Article] The first eigenvalue of the p-Laplacian on a compact Riemannian manifold2003

    • Author(s)
      Shigeo Kawai, Nobumitsu Nakauchi
    • Journal Title

      Nonlinear Analysis 55

      Pages: 33-46

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Presentation] A Variational Problem on Conformality of Maps and Related Problems2022

    • Author(s)
      Nobumitsu Nakauchi
    • Organizer
      Workshop on Differential Geometry and Geometric Analysis -- Celebration of Professor Miyuki Koiso's Retirement --
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05220
  • [Presentation] A Variational Problem on Conformality of Maps and Related Problems2022

    • Author(s)
      Nobumitsu Nakauchi
    • Organizer
      Workshop on Differential Geometry and Geometric Analysis --- Celebration of Professor Miyuki Koiso's Retirement ---
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03280
  • [Presentation] 写像の共形性に関する変分問題と, その研究過程で現れた変分問題2018

    • Author(s)
      中内伸光
    • Organizer
      金沢研究集会「多様体上の微分方程式」
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05133
  • [Presentation] 写像の共形性に関する変分問題と, その研究過程で現れた変分問題2018

    • Author(s)
      中内伸光
    • Organizer
      金沢研究集会「多様体上の微分方程式」,金沢大学サテライトプラザ(金沢市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05220
  • [Presentation] 写像の共形性に関連する変分問題とその研究過程で現れた変分問題2018

    • Author(s)
      中内伸光
    • Organizer
      金沢研究集会「多様体上の微分方程式」(第17回)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03280
  • [Presentation] 計量の pullback に関連したある汎関数の stationary map について2017

    • Author(s)
      河合茂生, 中内伸光
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京(東京都八王子市)
    • Data Source
      KAKENHI-PROJECT-16K05133
  • [Presentation] 計量の pullback に関連したある汎関数の stationary map について2017

    • Author(s)
      河合茂生, 中内伸光
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京(東京都八王子市)
    • Data Source
      KAKENHI-PROJECT-15K04846
  • [Presentation] 計量の pullback に関連したある汎関数の stationary map について2017

    • Author(s)
      Shigeo Kawai and Nobumitsu Nakauchi
    • Organizer
      日本数学会年会
    • Data Source
      KAKENHI-PROJECT-15K04846
  • [Presentation] Chen 予想と3重調和部分多様体2014

    • Author(s)
      前田瞬, 浦川肇, 中内伸光
    • Organizer
      日本数学会2014年度年会
    • Place of Presentation
      学習院大学(東京都)
    • Data Source
      KAKENHI-PROJECT-23540091
  • [Presentation] Chen 予想と3重調和多様体2014

    • Author(s)
      Shun Maeta, Hajime Urakawa and Nobumitsu Nakauchi
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学(東京都豊島区)
    • Data Source
      KAKENHI-PROJECT-24540213
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