NAGASE Masayoshi 長瀬正義

Researcher Number	30175509
External Links
Affiliation (Current)	2020: 埼玉大学, 理工学研究科, 教授
Affiliation (based on the past Project Information) *help	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 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
Review Section/Research Field	Principal Investigator Geometry / Geometry / 代数学・幾何学 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 / スピン / トウィスター / Spin / Dirac operator / 指数定理 / エータ不変量 … 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

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 2013 2010 2009 2007 Other

All Journal Article

[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] 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] 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] 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] 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)
  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] 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] 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 adiabaticexpansions2007
- 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 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 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
[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

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

NAGASE Masayoshi 長瀬 正義

Research Projects

Research Products

Co-Researchers

Study on the general adiabatic expansion theory for Laplacian and its some applicationsPrincipal Investigator

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Study on the general adiabatic expansion theory for heat kernels and its some applicationsPrincipal Investigator

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Study on the anomaly of Spin^q manifoldsPrincipal Investigator

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Spin^q structures and the adiabatic limitPrincipal Investigator

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Research on the global structure of manifoldPrincipal Investigator

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NAGASE Masayoshi 長瀬正義