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NAGASE Masayoshi  長瀬 正義

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… Alternative Names

長瀬 正義  ナガセ マサヨシ

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Researcher Number 30175509
External Links
Affiliation (Current) 2022: 埼玉大学, 理工学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2021: 埼玉大学, 理工学研究科, 名誉教授
2007 – 2013: 埼玉大学, 理工学研究科, 教授
2008 – 2010: 埼玉大学, 大学院・理工学研究科, 教授
2006: 埼玉大学, 大学院理工学研究科, 教授
1996 – 2005: 埼玉大学, 理学部, 教授 … More
2000: Saitama University, Dept. of Math., Professor
1989 – 1995: 埼玉大学, 理学部, 助教授
1991: 埼玉大学, 理学部数学, 助教授 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Basic Section 11020:Geometry-related
Except Principal Investigator
解析学 / Geometry / Geometry / 代数学・幾何学 / Algebra / Basic analysis
Keywords
Principal Investigator
ディラック作用素 / スピン構造 / 断熱極限 / 断熱展開 / 接触リーマン多様体 / スピン / トウィスター / Spin / Dirac operator / 指数定理 … More / エータ不変量 / 熱核 / twistor / カイラルアノマリー / chiral anomaly / 複素スピン構造 / 四元数スピン構造 / Dirac作用素 / Spin^q構造 / twistor構造 / シンプレクティック構造 / トウィスター構造 / スカラー曲率 / 葉層構造 / 増大度 / 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 / 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 / 四元数 / 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 / ディラックラプラシアン熱核 / 漸近展開係数 / エルミート丹野接続 … More
Except Principal Investigator
特異点 / Schouten bracket / 葉層構造 / generalized divergence / Poisson manifold / 射影空間 / 平面曲線 / 可制御性 / 近似可制御性 / 特異境界条件 / 粘性解 / 結び目 / デーン手術 / 3次元多様体 / 本質的曲面 / 巡回被覆 / 代数曲面 / contact structure / Poisson cohomology / symplectic foliation / leaf invariant / Concircular scalar field / Leibniz algebra / Leibniz cohomology / 特異葉層構造 / Lie algebroid / almost Dirac structure / Dirac structure / 数論的不連続群 / 数論的代数曲面 / 複素射影空間 / ヤコビ形式 / ドラ-ムの定理 / 線型MHD作用素 / 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- / 二次特性類 / Shape Operator / L^2コホモロジ- / ガウス・ボンネ作用素 / 指数 / 概均質(prehomogeneouo) / 超局所(microlral) / 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 / First normal space / minimal hypersurface / Kodaira dimension / 最適制御 / ロボットアーム / quarternionic symplectic / twistor space / η-invariant / addiabatic limit / spin^q structure / Dirac operator / Symplectic chracteristic / 擬微分作用素 / 解析的準楕円性 / 局所可解性 / Euler-Bernoulli方程式 / 最適制御問題 / Robot arm / Spin^q-structure / 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 / 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 / ベッチ数 / モジュラー群 / 多様体 / 葉層 / 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 / foliation / ゼータ関数 / 概均質ベクトル空間 / b関数 / デジタル署名 / ミルナ-数 / セキュリティー / CR部分多様体 / ベルアン方程式 / Zeta function / Prehomogenous / singularity / 総ミルナー数 / 有理曲線 / 尖点 / クレモナ変換 / 2次変換 / 重複度列 / 環と体 / 有理関数 / 特異点解消 / 重複度 / 変形 / 有理尖点曲線 / plane curve / rational curve / cuspidal curve / multiplicity sequence / quadratic transformation / place at infinity / projective equivalence / maximal multiplicity / Spin / Hirsch foliation / Dirac manifold / 極小曲面 / Simon予想 / Willmore曲面 / 法曲率テンソル / 変分問題 / 楕円関数 / 曲率 / ガウス曲率 / Minimal surface / Simon conjecture / Willmore surface / normal curvature tensor / Variational problem / 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 / オイラー・ベルヌイ方程式 / 波動方程式 / 最適制御理論 / Hamilton-Jacobi方程式 / 変分方程式 / 発展方程式 / 有限伝播速度 / 梁の方程式 / 数理ファイナンス / オイラー・ビーム / Kuhn-Tucker / 多目的制御問題 / モーメント問題 / 最短到達時間問題 / 微分ゲーム / 最適化 / controllability / Euler-Bernoulli equation / singular boundary condition / wave equation / optimal control theory / viscositv solution / Hamilton-Jacobi equation / variational equation / 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 / 3次元多様体論 / 結び目理論 / Knot / Dehn surgery / 3-manifold / essential surface Less
  • Research Projects

    (30 results)
  • Research Products

    (15 results)
  • Co-Researchers

    (22 People)
  •  Contact Riemannian manifolds and the hermitian Tanno connectionPrincipal Investigator

    • Principal Investigator
      長瀬 正義
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Saitama University
  •  Study on the general adiabatic expansion theory for Laplacian and its some applicationsPrincipal Investigator

    • 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 applicationsPrincipal Investigator

    • 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 GEOMETRIES

    • 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
  •  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
  •  Research On the Geometry Related with Structures of Manifolds and Plane Fields

    • 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 manifoldsPrincipal Investigator

    • 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
  •  Optimal Control Theory of Enler-BernouIIi Equation

    • Principal Investigator
      TSUJIOKA Kunio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Global Research of Geometry related with Poisson and Contact Manifolds.

    • 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 limitPrincipal Investigator

    • 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
  •  Studies on minimal surfaces and Simon conjecture

    • Principal Investigator
      SAKAMOTO Kunio
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Algebraic Geometry of Plane Curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Research on Poisson manifolds and related structures on manifolds.

    • 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 manifoldPrincipal Investigator

    • 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

    • 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
  •  The study of the pole of the zeta function.

    • Principal Investigator
      YANO Tamaki
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  多様体における種々の大域的構造の研究

    • 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
  •  偏微分方程式の解の構造の研究

    • Principal Investigator
      櫻井 力
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • 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

    • 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
      水谷 忠良
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Saitama 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
  •  特異な境界条件を持った偏微分方程式の最適制御理論

    • Principal Investigator
      辻岡 邦夫
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  多様体の大域的構造の研究Principal Investigator

    • Principal Investigator
      長瀬 正義
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University
  •  多様体の幾何学的構造の研究

    • 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
  •  概均質空間の構造の研究とその応用

    • Principal Investigator
      矢野 環
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • 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
  •  数論的不連続群の研究

    • Principal Investigator
      TAKEUCHI Kisao
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University

All 2021 2013 2010 2009 2007 Other

All Journal Article

  • [Journal Article] A formula for the Dirac Laplacians on spin manifolds2021

    • Author(s)
      Masayoshi Nagase, Takumi Shirakawa
    • Journal Title

      Tsukuba J. Math.

      Volume: 45 Pages: 69-81

    • Data Source
      KAKENHI-PROJECT-21K03219
  • [Journal Article] On the trace and the infinitesimally deformed chiral anomaly of Dirac operators on twistor spaces and the change of metrics on the base spaces2013

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      Saitama Math. J.

      Volume: 30 Pages: 39-57

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540070
  • [Journal Article] On the trace and the infinitesimally deformed chiral anomaly of Dirac operators on twistor spaces and the change of metrics on the base spaces2013

    • Author(s)
      長瀬正義
    • Journal Title

      Saitama Math. J

      Volume: Vol.30 Pages: 39-57

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540070
  • [Journal Article] Expressions of the heat kernels on spheres by elementary functions and their recurrence relations2010

    • Author(s)
      長瀬正義
    • Journal Title

      Saitama Math.J. Vol.27

      Pages: 23-34

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540063
  • [Journal Article] Expressions of the heat kernel on spheres by elementary functions and their recurrence relations2010

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      Saitama Math.J.

      Volume: 27 Pages: 25-34

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540063
  • [Journal Article] The Laplacian and the heat kernel acting on differential forms on spheres2009

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      Tohoku Math.J. 61

      Pages: 571-588

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540063
  • [Journal Article] The Laplacian and the heat kernel acting on differential forms on spheres2009

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      Tohoku Math.Journal 61巻

      Pages: 571-588

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] The Laplacian and the heat kernel acting on differential forms on spheres2009

    • Author(s)
      長瀬正義
    • Journal Title

      Tohoku Math.J. Vol.61

      Pages: 571-588

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540063
  • [Journal Article] The Laplacian and the heat kernel acting on differential forms on spheres2009

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      Tohoku Math.Journal Vol. 61

      Pages: 571-588

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] Twistor spaces and the general adiabatic expansions2007

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      J.Funct.AnaL 251

      Pages: 680-737

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] Twistor spaces and the general adiabatic expansions2007

    • Author(s)
      Masayoshi Nagase
    • Journal Title

      J.Funct.Anal. Vol. 251

      Pages: 680-737

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] Twistor spaces and the general adiabatic expansions2007

    • Author(s)
      M. Nagase
    • Journal Title

      J.Funct.Anal. 251

      Pages: 680-737

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540064
  • [Journal Article] Twistor spaces and the general adiabaticexpansions2007

    • Author(s)
      M.Nagase
    • Journal Title

      J.Funct. Anal 251

      Pages: 680-737

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540064
  • [Journal Article] Twistor space and the adiabatic expansion

    • Author(s)
      M.Nagase
    • Journal Title

      (preprint)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Journal Article] Twistor space and the adiabatic expansion

    • Author(s)
      M.Nagase
    • Journal Title

      Preprint

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • 1.  MIZUTANI Tadayoshi (20080492)
    # of Collaborated Projects: 21 results
    # of Collaborated Products: 0 results
  • 2.  OKUMURA Masafumi (60016053)
    # of Collaborated Projects: 16 results
    # of Collaborated Products: 0 results
  • 3.  SAKAMOTO Kunio (70089829)
    # of Collaborated Projects: 15 results
    # of Collaborated Products: 0 results
  • 4.  SAKAI Fumio (40036596)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 5.  EGASHIRA Shinji (00261876)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 6.  FUKUI Toshizumi (90218892)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 7.  TAKEUCHI Kisao (00011560)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 8.  TSUJIOKA Kunio (30012412)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 9.  YANO Tamaki (10111410)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 10.  SHIMOKAWA Koya (60312633)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 11.  KOIKE Shigeaki (90205295)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 12.  佐藤 祐吉 (80008812)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  SAKURAI Tsutomu (40187084)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  SATOH Takakazu (70215797)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  木村 真琴 (30186332)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  加古 孝 (30012488)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  金銅 誠之 (50186847)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  EBIHARA Madoka (80213578)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  柴田 勝征 (50028213)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  柳井 久江 (10008865)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  GON Yasuro (30302508)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  ARAI Michio (40008850)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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