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MIZUTANI Tadayoshi  水谷 忠良

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… Alternative Names

水谷 忠義  ミズタニ タダヨシ

水谷 忠良

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Researcher Number 20080492
Other IDs
Affiliation (based on the past Project Information) *help 2013: 埼玉大学, 名誉教授
2010: 埼玉大学, 名誉教授
2007 – 2009: 埼玉大学, 大学院・理工学研究科, 教授
2006 – 2009: saitama University, Department of Mathematics, Professor, 理工学研究科, 教授
2006: 埼玉大学, 大学院理工学研究科, 教授 … More
1995 – 2005: 埼玉大学, 理学部, 教授
1994: 埼玉大学, 教授
1990 – 1993: 埼玉大学, 理学部, 教授
1987 – 1988: 埼玉大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学
Except Principal Investigator
Geometry / Geometry / 解析学 / 代数学・幾何学 / Algebra / Algebra
Keywords
Principal Investigator
Schouten bracket / 葉層構造 / generalized divergence / Poisson manifold / contact structure / Poisson cohomology / symplectic foliation / leaf invariant / Leibniz algebra / Leibniz cohomology … More / 特異葉層構造 / Lie algebroid / almost Dirac structure / Dirac structure / 二次特性類 / 射影空間 / Shape Operator / L^2コホモロジ- / ガウス・ボンネ作用素 / 指数 / 平面曲線 / 特性類 / 微分同相群 / 群のコホモロジー / スピン構造 / Dirac作用素 / ツィスター空間 / quarternionic symplectic / twistor space / η-invariant / addiabatic limit / spin^q structure / Dirac operator / 微分トポロジー / ポアソン構造 / 積分可能性 / 包合性 / 外微分形式系 / G構造 / 接触変換 / 延長 / ウェッブ構造 / スペンサーコホモロジー / 描板 / 接触多様体 / Lie亜代数 / ボアソン幾何学 / 包合系 / オイラー・ラグランジュ方程式 / 接触構造 / モンジュ・アンペール方程式 / Spin / Hirsch foliation / Dirac manifold / Nambu-Possin多様体 / 中心拡大 / パフ系 / Nambu-Poisson多様体 / ポアソン多様体 / ヤコビ多様体 / Nambu-Jacobi多様体 / Fundamental Identity / 南部多様体 / ポアソン・ブラケット / 南部・ヤコビブラケット / Nambu-Poisson manifold / central extension / singular foilation / Pfaff system / Poisson多様体 / スカウテン・ブラケット / 多重ベクトル場 / ディラック構造 / multi-vector field / singular foliation … More
Except Principal Investigator
葉層構造 / ディラック作用素 / 接触構造 / 断熱極限 / 葉層 / ゼータ関数 / 断熱展開 / foliation / スピン / トウィスター / Spin / Dirac operator / 特異点 / 代数曲面 / 擬微分作用素 / 指数定理 / スピン構造 / エータ不変量 / シンプレクティック構造 / 力学系 / モジュラ形式 / 半整数の重さのモジュラ形式 / ジーゲルモジュラ形式 / ヤコビ形式 / 結び目 / デーン手術 / 3次元多様体 / 本質的曲面 / 熱核 / 接触リーマン多様体 / 特性類 / 多様体 / twistor / symplectic構造 / 双接触構造 / 射影的Anosov流 / 擬正則曲線 / 写像の特異点 / Thom-Boardman多様体 / Cohen-Macaulay性 / ブロー解析的写像 / 写像度 / カイラルアノマリー / chiral anomaly / 代数多様体 / 平面曲線 / K3曲面 / 波動方程式の境界条件 / 積空間での固有値問題 / 非完備ケ-ラ-多様体 / L^2ーコホモロジ- / L^2ードルボ-コホモロジ- / 偏微分方程式の局所可解性 / 特異性の伝播 / 射影空間の超曲面 / 2次特性類 / ゴドビヨン-ヴェイ類 / ホロノミー / アノソフ流 / コンパクト葉 / 安定性 / 剛性 / First normal space / minimal hypersurface / Kodaira dimension / Dirac作用素 / Spin^q構造 / twistor構造 / トウィスター構造 / スカラー曲率 / 増大度 / シンプレクティク構造 / 変換群 / 幾何構造 / 非可換幾何学 / 変形量子化 / ジャーブ / 超弦理論 / 量子化問題 / 変形量子化問題 / シンプレクティック幾何学 / ポアソン幾何学 / 非可換ゲージ理論 / 国際研究者交流 / 中国:スイス:アメリカ / regularization / スペクトル理論 / オーストラリア:アメリカ:イタリア / 量子コホモロジー / 岩沢理論 / 国際情報交換 / イギリス:フランス:ベルギー:中国:コロンビア / 非可換微分幾何学 / Lie algebroid / Floer homology / Parabolic geometry / deformation quantization / Dirac structure / symplectic geometry / 保型形式 / ヤュビ形式 / 半整数9重さ9モジュラ形式 / 有限群 / 位相幾何 / 双曲多様体 / DNA / Xer / FtsK / DNAの組み換え / XerCD / レンズ空間 / 微分幾何 / CR多様体 / CR-Weyl接続 / 実超曲面 / 田中-Webster接続 / 直線バンドル / Kaehler多様体 / 分布 / Weyl接続 / 横断的 / 第二基本テンソル / 漸近展開 / Kohn-Rossi Lalacian / CR-多様体 / Heisenberg群 / Kohn-Rossi Laplacian / Tanaka-Webster接続 / Tanno接続 / 球面 / ラプラス作用素 / 初等関数表示 / ラプラシアン / 山辺問題 / Laplacian / asymptotic expansion / adiabatic expansion / 磁気流体 / 線形化MHD作用素 / 体質的スペクトル / 有限要素法 / 磁気面 / 部分多様体 / サイクリックコホモロジー / ルールド構造 / 複数射影空間 / 実部分多様体 / 正規曲面 / 有理突点曲線 / MHD-作用素 / 射影空間 / ベッチ数 / 巡回被覆 / モジュラー群 / Bellman方程式 / 4元数 / 量子束 / 概接触構造 / cyclic covering / Betti number / algebraic surface / singularities / projective space / modular group / monifold / 微分同相 / 保積変換 / リプシッツ / 境界 / アノソフ / 微分同相群 / リプシッツ同相 / 区分線形同相 / diffeomorphisms / volume preserving / Lipschitz / boundary / contact structure / Anosov / 指数作用素 / サイバーグ・ウィッテン / 解析的トーション / adiabatic limit / signature operator / eta invariant / Seiberg-Witten / analytic torsion / symplectic Filling / 幾何学的量子化 / tight接触構造 / Hamilton力学系 / 超曲面 / Symplectic構造 / タマ接触構造 / Poisson構造 / Legendre結び目 / Thurston-Bennequin不変量 / Contact Structure / symplectic structure / bi-contact structure / projectively Anosoo flow / symplectic filling / geometric quantization / tight contact structure / 一般線形群の表現 / 改変後自明性 / ニュートンフィルトレーション / 曲面の臍点 / 改変後解析性 / 特異曲面 / Singularities of maps / Thom-Boardman manifolds / Cohen-Macaaulay property / Representation of general linear group / blow-analytic map / modified analytic trivialization / Newton filtration / 四元数 / Anosov流 / 葉層コホモロジー / Asymptotic Linking / Stein曲面 / Asymptotic linking / 概複素構造 / contact structures / foliations / symplectic structures / bi-contact structures / Ansov flows / foliated cohomology / asymptotic linking / Stein surface / 四元数スピン / トウィスター空間 / ディラック / 断熱 / スーパートレース / カイラルギャップ / カイラル / 断熱変換 / Spin^q / twistor space / トム=ボードマン集合 / 摂動 / コーエン=マコーレイ性 / 古典微分幾何 / ジェット空間 / 臍点と曲率線 / 特異点論 / 指数 / オイラー数 / 劣解析写像 / ブロー解析写像 / Lipschitz性 / 自由分解 / 幾何学的方法 / Lipshitz性 / Sardの定理 / 実解析関数の特異点 / Singularity of Map / Thom-Boardman set / pertuabtion / Cohen-Macaulay property / classical differential geometry / jet sapce / umblics and line of curvature / 3次元多様体論 / 結び目理論 / Knot / Dehn surgery / 3-manifold / essential surface / マース空間 / ヒルベルトモジュラ形式 / modular forms of half integral weight / zeta function / Jacobi form / modular forms / Maass wave form Less
  • Research Projects

    (34 results)
  • Research Products

    (32 results)
  • Co-Researchers

    (77 People)
  •  Study on the general adiabatic expansion theory for Laplacian and its some applications

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Study on the general adiabatic expansion theory for heat kernels and its some applications

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Study of CR-Weyl structures

    • Principal Investigator
      SAKAMOTO Kunio
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  RESEARCH ON THE POISSON GEOMETRY AND THE RELATED GEOMETRIESPrincipal Investigator

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  An arithmetic study of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Research on knot theory using essential surfaces

    • Principal Investigator
      SHIMOKAWA Koya
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  葉層力学系研究のための企画調査

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      SAITAMA UNIVERSITY
  •  Geometry of singularities of mapping II

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Research On the Geometry Related with Structures of Manifolds and Plane FieldsPrincipal Investigator

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Research on finite Dehn surgeries on knots and links

    • Principal Investigator
      SHIMOKAWA Koya
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Study on the anomaly of Spin^q manifolds

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Study on contac structures and foliations on 3 and 4 dimensional manifolds

    • Principal Investigator
      MITSUMATSU Yoshihiko
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Chuo University
  •  Geometry of singularities of maps

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Global Research of Geometry related with Poisson and Contact Manifolds.Principal Investigator

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Spin^q structures and the adiabatic limit

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Study of contact structures and foliations on 3-manifolds

    • Principal Investigator
      MITSUHATSU Yoshihiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chuo University
  •  STUDY ON THE GROUPS OF DIFFEOMORPHISMS

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  Research on Poisson manifolds and related structures on manifolds.Principal Investigator

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Research on the global structure of manifold

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  多様体の大域幾何の研究

    • Principal Investigator
      長瀬 正義
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  多様体における種々の大域的構造の研究Principal Investigator

    • Principal Investigator
      水谷 忠良
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  On Birational Geometry of Algebraic Varieties

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  多様体の大域的構造の研究

    • Principal Investigator
      長瀬 正義
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  葉層構造をめぐる大域解析の研究Principal Investigator

    • Principal Investigator
      水谷 忠良
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Saitama University
  •  葉層構造の総合的研究

    • Principal Investigator
      松元 重則
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Nihon University
  •  多様体の総合的研究

    • Principal Investigator
      奥村 正文
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  偏微分方程式の解の構造の研究

    • Principal Investigator
      SAKURAI Tsutomu
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  多様体の幾何学的構造の研究Principal Investigator

    • Principal Investigator
      水谷 忠良
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University
  •  代数多様体の構造

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University
  •  微分方程式の解の定性的研究

    • Principal Investigator
      佐藤 祐吉
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  多様体の総合的研究

    • Principal Investigator
      奥村 正文
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University
  •  微分方程式の解の構造の研究とその応用

    • Principal Investigator
      加古 孝
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University

All 2009 2008 2007 2006 2005 2004 2002

All Journal Article Presentation

  • [Journal Article] Lie algebroids associated with deformned Schouten bracket of 2-vectorfields2007

    • Author(s)
      T.Mizutani
    • Journal Title

      Progr.Math 252

      Pages: 147-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540064
  • [Journal Article] Algebroids Associated with Pre-Poisson Structures ; noncommutative geometry and physics 20052007

    • Author(s)
      Kentaro Mikami, Tadayoshi Mizutani
    • Journal Title

      Proceedings of the International Sendai-Beijing Joint Workshop, (World Scientific)

      Pages: 71-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] Lie algebroids associated with deformed Schouten bracket of 2-vector fields2007

    • Author(s)
      T. Mizutani
    • Journal Title

      Progr.Math. 252

      Pages: 147-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540064
  • [Journal Article] Lie algebroids associated with deformed Schouten bracket of 2-vector fields2007

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Progr. Math 252

      Pages: 147-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] A Lie algebroid and a Dirac structure associated to an almost Dirac structure2006

    • Author(s)
      Kentaro Mikami, Tadayoshi Mizutani
    • Journal Title

      FOLIATIONS 2005, ed. by P. Walczak et al.

      Pages: 341-352

    • Data Source
      KAKENHI-PROJECT-18540069
  • [Journal Article] Lie Algebroids Associated with Deformed Schouten Bracket of 2-Vector Fields2006

    • Author(s)
      Kentaro Mikami, Tadayoshi Mizutani
    • Journal Title

      From Geometry to Quantum Mechanics, in Hornor of Hideki Omori, Birkhauser

      Pages: 147-160

    • Data Source
      KAKENHI-PROJECT-18540069
  • [Journal Article] Lie algebroids associated with deformed Schouten bracket of 2-vector spaces2006

    • Author(s)
      K.Mikami, T, Mizutani
    • Journal Title

      Progr. Math. 252

      Pages: 147-160

    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Foliations associated with Nambu-Jacobi structures2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo Journal of Mathematics 28

      Pages: 33-54

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Foliations associated with Nambu-Jacobi structures2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo J. Math. 28

      Pages: 33-54

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Integrability of Plane Fields Defined by 2-Vector Fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Internat.J.Math. 16

      Pages: 197-212

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Foliations associated with Nambu-Jacobi Structures2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo J.of Math. 28

      Pages: 33-54

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Integrability of plane fields defined by 2-Vector fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      International J.of Mathematics 16

      Pages: 197-212

    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] Foliations associated with Nambu-Jacobi structures2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo J.of Math. 28

      Pages: 33-54

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Integrability of Plane Fields Defined by 2-Vector Fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Internat. J. Math. 16

      Pages: 197-212

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Foliations with Nambu-Jacobi stauctures2005

    • Author(s)
      Y.Hagiwara, T.Mizutani
    • Journal Title

      Tokyo Journal of Mathematics 28

    • Data Source
      KAKENHI-PROJECT-14540062
  • [Journal Article] Lie Algebroid Associated with an Almost Dirac Structure2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Travaux mathematiques 16

      Pages: 255-264

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Integrability of Plane Fields Defined by 2-Vector Fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      International Journal of Mathematics 16

      Pages: 197-212

    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Integrability of plane fields defined by 2-vector fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      International Journal of Mathematics

    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Foliations associated with Nambu-Jacobi structures2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo Journal of Mathematics 28(未定)

    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Integrability of plane fields defined by 2-vector fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      International Journal of Mathematics 16(2)

      Pages: 197-212

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Integrability of plane fields defined by 2-vector fields2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      International J.of Math. 16(2)

      Pages: 197-212

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Foliations associated with Nambu-Jacobi structures2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo Journal of Mathematics 28

      Pages: 33-54

    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Integrability of plane fields defined by 2-vector field2005

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      International Journal of Mathematics 未定

    • Data Source
      KAKENHI-PROJECT-15540061
  • [Journal Article] Foliations associated with Nambu-Jacobi structures2004

    • Author(s)
      K.Mikami, T.Mizutani
    • Journal Title

      Tokyo Journal of Mathematics 28

    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] On Exact Poisson Manifolds of Dimension 32002

    • Author(s)
      T.Mizutani
    • Journal Title

      Proceedings of FOLIATIONS : GEOMETRY AND DYNAMICS(ed.by P.Walczak et al.)(World Scientific)

      Pages: 371-386

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Journal Article] Leibniz algebra associated with foliations2002

    • Author(s)
      Y.Hagiwara, T.Mizutani
    • Journal Title

      Kodai Math.J. 25

      Pages: 151-165

    • NAID

      130003574412

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Journal Article] Leibniz Algebras associated with foliations2002

    • Author(s)
      Y.Hagiwara, T.Mizutani
    • Journal Title

      Kodai Math.J. 25

      Pages: 151-165

    • NAID

      130003574412

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Journal Article] On exact Poisoon manifolds of dimension 32002

    • Author(s)
      T.Mizutani
    • Journal Title

      Proc.FOLIATION : GEOMETRY AND DYNAMICS, World Scientific

      Pages: 371-386

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Presentation] 描板とスペンサーコホロジーについて2009

    • Author(s)
      水谷忠良
    • Organizer
      東工大土曜セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-02-21
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Presentation] 描板とスペンサーコホモロジーについて2009

    • Author(s)
      水谷忠良
    • Organizer
      東工大土曜セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-02-21
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Presentation] G構造の構造関数について2008

    • Author(s)
      水谷忠良
    • Organizer
      東工大土曜セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-06-21
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Presentation] 接触多様体上の Euler-Lagrange 外微分形式系と Noether の定理について2007

    • Author(s)
      水谷忠良
    • Organizer
      量子化の幾何学2007
    • Place of Presentation
      早稲田大学
    • Year and Date
      2007-09-07
    • Data Source
      KAKENHI-PROJECT-19540065
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