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OTSU Yukio  大津 幸男

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… Alternative Names

大津 幸男  オオツ ユキオ

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Researcher Number 80233170
Affiliation (Current) 2025: 九州大学, 数理学研究院, 准教授
Affiliation (based on the past Project Information) *help 2016 – 2017: 九州大学, 数理学研究院, 准教授
2014 – 2015: 九州大学, 数理(科)学研究科(研究院), 准教授
2007 – 2010: Kyushu University, 大学院・数理学研究院, 准教授
2009: 九州大学, 数理学研究院, 准教授
2007: 九州大学, 数理学研究院, 准教授 … More
2006: 九州大学, 大学院・数理学研究院, 助教授
2006: 九州大学, 大学院理学研究院, 助教授
2006: 熊本大学, 数理学研究院, 助教授
2005: 九州大学, 大学院・理学研究院, 助教授
2005: 九州大学, 大学院数理学研究院, 助教授
2001 – 2005: 九州大学, 数理学研究院, 助教授
2004: Kyushu Univ, Grad.School of Math, Associate Professor, 大学院・数理物質科学研究科, 助教授
2001 – 2004: Graduate School of Mathematics, Kyushu University, Associate Professor, 大学院・数理学研究院, 助教授
2001 – 2003: 九州大学, 大学院・数理学研究科, 助教授
1998 – 2000: 大阪大学, 大学院・理学研究科, 講師
1997: 東京大学, 大学院・数理科学研究科, 助手
1993 – 1995: 東京大学, 大学院・数理科学研究科, 助手
1994: 東京大学, 大学院数理科学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry
Except Principal Investigator
Geometry / Geometry / Global analysis / Global analysis / Basic analysis
Keywords
Principal Investigator
アレクサンドロフ空間 / ラプラシアン / ハウスドルフ距離 / リーマン幾何 / 量子統計力学 / エントロピー / リーマン多様体 / 比較定理 / Convergence theorem / Laplacian … More / comparions geometry / Hausdorff distance / Alexandrov space / 大域リーマン幾何 / 収束定理 / 比較幾何学 / 温度グリーン関数 / 経路積分 / グロモフ・ハウスドルフ距離 / ランダム離散化 / グロモフハウスドルフ距離 / 幾何構造の変形 / Gromov-Hausdorff 距離 / モジュライ空間 / Differential geometry / 統計力学 / 変形理論 / 微分幾何学 / 微分幾何 / マルコフ連鎖 / 離散ラプラシアン / フィシャー計量 / ランダムネット / 崩壊 / リーマニ多様体 / 凸解析 / 粘性解 / 凸関数 / ヤコビー場 / 微分構造 … More
Except Principal Investigator
グロモフ・ハウスドルフ収束 / アレクサンドロフ空間 / Alexandrov spaces / 調和写像 / ディリクレ形式 / アレキサンドロフ空間 / リーマン多様体 / Gromov-Hausdorff convergence / 熱核 / 変分収束 / 劣調和関数 / 加藤クラス / 等径超曲面 / ソウル定理 / 崩壊 / 測地線 / 四元数ケーラー多様体 / Dirichlet form / エネルギー形式 / ソボレフ空間 / collapsing / 4次元多様体 / グロモフ・ハウスドルフ距離 / アレキサンドロ空間 / 量子コホモロジー論 / アインシュタイン計量 / Yang-Mills接続 / 調和写像論 / 特異点のモデュライ / G_2軌道 / パンルヴェ方程式 / 特異点 / 曲率 / 部分多様体 / heat kennel / Kato class / Alexandrov space / variational convergence / subharmonic function / harmonic map / quantum cohomology / Einstein metric / Yang-Mills connection / Theory of harmonic maps / Moduli of singularities / Painleve equation / G2 orbits / isoparametric hypersurfaces / 特異ルジャンドル曲線 / 4元数対称空間 / ツイスター切断理論 / 主編極アーベル多様性 / モデュライ理論 / 摂動スカラー曲率 / Lagrange部分多様体 / Frobenius多様体 / 超楕円ヤコビ多様体 / Painleve方程式 / 特異点の解析 / 極小曲面のガウス写像 / G2軌道 / Seiberg-Witten equation / 4 dimensional Kahler manifold / total curvature / constant mean curvature surface / Gauss map / exceptional holonomy / homogeneous hypersurface / isoparametric hypersurface / 平均曲率-定曲面 / 概複素曲線 / Seiberg-Witten不変量 / Einstein計量 / DS-diagram / ラグランジュ錐 / ラグランジュ・ルジャンドル部分多様体 / 距離空間のモジュライ / 例外ホロノミー / 等径・等質超曲面 / サイバーグウィッテン方程式 / 4元数ケーラー多様性 / 全曲率 / 平均曲率一定曲面 / ガウス写像 / 例学ホロノミー / 等質超曲面 / Calabi s strong maximum principle / CAT(0)-space / Mosco convergence / Gamma convergence / Asymtotic relation / Variational convergence / Harmonic map / グロモハウスドルフ収束 / ギルサノフ公式 / ファインマンカッツ公式 / ドリフト変換過程 / ハーディクラス / ディレクレ形式 / CAT(0)空間 / Mosco収束 / ガンマ収束 / 漸近関係 / energy form / graph manifold / 4-manifold / 3-manifold / Alexandrov spare / Gromov-Hausdorff / Riemannian manfolds / 端点 / グラフ多様体 / 3次元多様体 / Hansdorff convergence / 2nd. Fundamental form / Submanifolds / Geodesics / Curvature / Riemannian manifolds / 放射曲率 / 共形幾何学 / 球面 / 凸関数 / 第2基本形式 / モース理論 / Dirichlet forms / Laplacian / 熱方程式 / グロモフーハウスドルフ収束 / アレキサンドルフ空間 / グロモフ-ハウスドルフ収束 / ラプラシアン / index theorem / CR invariant / Parabolic Tnvaviant theory / Bevgman Kevuel / グラウエルト柱状領域 / セゲー核 / 指数定理 / CR不変量 / 放物型不変式論 / ベルグマン核 / soul theorem / Gromov-Hausdorff distance / 4-manifolds / 収束理論 / 曲率と位相 / 4次元リーマン多様体 / MORSE THEORY / DYNAMICAL SYSTEMS / GEOMETRIC VARIATIONAL PROBLEM / 偏微分方程式 / 大域変分法 / 量子化 / モース関数 / 物理幾何学 / シンプレクティク幾何学 / 極小曲面 / 危点 / 幾何学的変分問題 / モ-ス理論 / 力学系 / 幾何学的変分法 / 劣講話関数 / 幾何学 / クレパント解消予想 / 双曲空間 / ミラー対称性 / tt*戸田格子 / Ricci soliton / 離散変形KdV方程式 / 可積分な運動 / 離散化 / 運動量写像 / 軌道の幾何学 / 量子コホモロジー / カオス性 / 離散幾何学 / 可積分系 / 超曲面の幾何学 / 特異点に微分幾何 / ド・ジッター空間のCMC1曲面 / 双曲空間の平坦曲面 / 特異点の微分幾何 / ワイエルストラス型表現公式 / フロント / ワイエルストラス表現 / 微分幾何 / 変分収束理論 / リッチ曲率 / 本質的被覆 / 退化 / 崩壊理論 / スペクトル逆問題 / 軌道体 / リッチ流 / multiplier Hermitian 計量 / Meyerの直径有界性定理 / multiplier-Hermitian計量 / Kahler-Einstein計量 / グリーン関数 / 熱核評価の方法 / Kahler-Ricci soliton / Myersの直径有界性定理 / 「捩れのある」エルミート接続 / multiplier-Hermition計量 / ハミルトン正則ベクトル場 / プレート方式 / シュレディンガー方程式 / 弾性波動方程式 / プレート方程式 / 長さの空間 / ハウスドルフ収束 / 距離関数 Less
  • Research Projects

    (24 results)
  • Research Products

    (17 results)
  • Co-Researchers

    (78 People)
  •  Construction, singularities and porlarlization of moduli space of metric spaces via Quantum statistical mechanicsPrincipal Investigator

    • Principal Investigator
      OTSU Yukio
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Fusion of geometry and the theory of integrable systems

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Analysis on harmonic maps on metric measure spaces by Dirichlet forms

    • Principal Investigator
      KUWAE Kazuhiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  距離空間の幾何学における量子統計力学の方法Principal Investigator

    • Principal Investigator
      大津 幸男
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Generalizations of Weierstrass-type representation formula and their applications to theory of surface with singularities

    • Principal Investigator
      YAMADA Kotaro (KOTARO Yamada)
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      University of Tsukuba
  •  Development and relations between various geometries and integrable systems

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
      Kyushu University
  •  Analysts on harmonic maps over geometric singular spaces via Dirichlet forms

    • Principal Investigator
      KUWAE Kazuhiro
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  距離空間のモジュライ空間のエントロピー解析Principal Investigator

    • Principal Investigator
      大津 幸男
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Differential equations and theory of submanifolds

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
      Sophia University
  •  捩れをもつ接続の幾何学

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Theory of collapsing Riemannian manifolds and geometry of Alexandrov spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      University of Tsukuba
      Kyushu University
  •  Dirichlet space and analysis of harmonic map over the space of Gromov-Hausdorff limit spaces

    • Principal Investigator
      KUWAE Kazuhiro
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  Research on Sphere Theorems and Related Properties of Spheres

    • Principal Investigator
      SHIOHAMA K.
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  Analysis on Alexandrov Spaces

    • Principal Investigator
      SHIOYA Takashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Mathematical Institute
      Kyushu University
  •  Geometry of space of Riemannian manifoldsPrincipal Investigator

    • Principal Investigator
      OTSU Yukio
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
      Osaka University
  •  非線型弾性波動方程式

    • Principal Investigator
      小磯 憲史
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Collapsing Theory of 4-manifolds and the geometry of Alexandrov Spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Geometry
    • Research Institution
      KYUSHU UNIVERSITY
  •  Invariant theory of the Bergman kernel and index theorems.

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  アレクサンドロフ空間の大域解析Principal Investigator

    • Principal Investigator
      大津 幸男
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
      The University of Tokyo
  •  アレクサンドロフ空間の解析学Principal Investigator

    • Principal Investigator
      大津 幸男
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  リーマン幾何学の部分多様体論への応用

    • Principal Investigator
      SHIOHAMA Katsuhiyo
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  リーマン多様体及びアレクサンドロフ空間の幾何学Principal Investigator

    • Principal Investigator
      大津 幸男
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  GEOMETRIC STUDY OF VARIATIONS ON INFINITE DIMENSIONAL MANIFOLDS

    • Principal Investigator
      OCHIAI Takushiro
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO

All 2015 2009 2008 2007 2005 2004

All Journal Article Presentation Book

  • [Book] 数学メモアール第3巻 リーマン多様体とその極限2004

    • Author(s)
      大津幸男, 山口孝男, 塩谷隆, 他
    • Total Pages
      383
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-15654012
  • [Journal Article] Rotational hypersurfaces of periodic mean curvature in the Euclidean spaces2005

    • Author(s)
      K.Kenmotsu
    • Journal Title

      Proc.of the Int.Workshop on Integrable Sys., Geom., and Visualization

      Pages: 99-106

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204007
  • [Journal Article] Rotational hypersurfaces of periodic mean curvature in the Euclidean spaces2005

    • Author(s)
      K.Kenmotsu
    • Journal Title

      Proceedings of the International Workshop on Integrable Systems, Geometry, and Visualization

      Pages: 99-106

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204007
  • [Journal Article] Rotational hypersurfaces of periodic mean curvature in the Euclidean spaces2005

    • Author(s)
      K.Kenmotsu
    • Journal Title

      Proc.of the Internat.Workshop on Integrable Systems, Geometry, and Visualization (Kyushu Univ.)

      Pages: 99-106

    • Data Source
      KAKENHI-PROJECT-16204007
  • [Journal Article] Minimal surfaces(in Japanese)2004

    • Author(s)
      K.Kenmotsu
    • Journal Title

      Sugaku no Tanoshimi summer

      Pages: 92-104

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204007
  • [Journal Article] On Ogata's differential equations of CMC surfaces in 2-dim.Complex space form(in Japanese)2004

    • Author(s)
      T.Ogata, K.Kenmotsu, N.Hirakawa
    • Journal Title

      RIMS Kokyuroku 1403

      Pages: 108-112

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204007
  • [Journal Article] Alexandrov空間入門2004

    • Author(s)
      大津幸男
    • Journal Title

      日本数学会数学メモワール 3

      Pages: 41-91

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440024
  • [Journal Article] Introduction to Alexandrov spaces2004

    • Author(s)
      Y.Otsu
    • Journal Title

      Math.Soc.Japan Memoire 3

      Pages: 41-91

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440024
  • [Presentation] Space-time approach to deformation of random nets2015

    • Author(s)
      大津幸男
    • Organizer
      九大幾何セミナー
    • Place of Presentation
      九大数理
    • Year and Date
      2015-03-27
    • Data Source
      KAKENHI-PROJECT-26610017
  • [Presentation] トーラスのモジュライと崩壊--再考2009

    • Author(s)
      大津幸男
    • Organizer
      東海大学・幾何セミナー
    • Place of Presentation
      東海大学
    • Year and Date
      2009-09-22
    • Data Source
      KAKENHI-PROJECT-19654011
  • [Presentation] Statistical mechanics of Bose ideal gas on Riemannian manifolds2008

    • Author(s)
      大津幸男
    • Organizer
      確率論と幾何学
    • Place of Presentation
      お茶の水女子大学
    • Year and Date
      2008-09-15
    • Data Source
      KAKENHI-PROJECT-19540220
  • [Presentation] ランダムネットによる1粒子理想気体の統計力学とその変形2008

    • Author(s)
      大津幸男
    • Organizer
      福岡大学微分幾何学研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2008-01-11
    • Data Source
      KAKENHI-PROJECT-19540220
  • [Presentation] Statistical mechanics of Bose ideal gas on Riemannian manifolds2008

    • Author(s)
      大津幸男
    • Organizer
      確率論と幾何学
    • Place of Presentation
      お茶の水大学
    • Year and Date
      2008-09-15
    • Data Source
      KAKENHI-PROJECT-19654011
  • [Presentation] ランダムネットによる1粒子理想気体の統計力学とその変形2008

    • Author(s)
      大津 幸男
    • Organizer
      福岡大学微分幾何研究集会
    • Place of Presentation
      福岡大学
    • Data Source
      KAKENHI-PROJECT-19654011
  • [Presentation] Statistical mechanics of 1 particle ideal gas and deformation of Alexandrovspaces2008

    • Author(s)
      大津幸男
    • Organizer
      Probabilistic Approach to Geometry
    • Place of Presentation
      京都大学
    • Year and Date
      2008-08-01
    • Data Source
      KAKENHI-PROJECT-19654011
  • [Presentation] Statistical mechanics of 1-particle ideal gas and deformation of Alexandrov spaces2008

    • Author(s)
      大津幸男
    • Organizer
      Probabilistic Approach to Geometry
    • Place of Presentation
      京都大学百周年記念館
    • Year and Date
      2008-08-01
    • Data Source
      KAKENHI-PROJECT-19540220
  • [Presentation] ランダムネットの統計力学と変形について2007

    • Author(s)
      大津幸男
    • Organizer
      確率論と幾何学
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-19
    • Data Source
      KAKENHI-PROJECT-19540220
  • 1.  SHIOYA Takashi (90235507)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  YAMADA Kotaro (10221657)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  MACHIGASHIRA Yoshiroh (00253584)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  YAMAGUCHI Takao (00182444)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  NAGATOMO Yasuyuki (10266075)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  KUWAE Kazuhiro (80243814)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  SHIOHAMA Katsuhiyo (20016059)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  市田 良輔 (10094294)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  UMEHARA Masaaki (90193945)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  IWASAKI Katsunori (00176538)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  KAJIWARA Kenji (40268115)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
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  • 78.  加藤 昌英 (90062679)
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