NAGASE Masayoshi 長瀬正義

… Alternative Names

長瀬正義ナガセマサヨシ

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Researcher Number	30175509
External Links
Affiliation (Current)	2025: 埼玉大学, 理工学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 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 / Basic Section 11020:Geometry-related / 代数学・幾何学 Except Principal Investigator Geometry / Geometry / 解析学 / Algebra / 代数学・幾何学 / Basic analysis
Keywords	Principal Investigator ディラック作用素 / Dirac operator / Spin / トウィスター / スピン / 接触リーマン多様体 / 断熱展開 / 断熱極限 / スピン構造 / chiral anomaly … More / カイラルアノマリー / twistor / ラプラシアン / 熱核 / エータ不変量 / 指数定理 / エルミート丹野接続 / 漸近展開係数 / ディラックラプラシアン熱核 / パラメトリックス / contact Riemannian / transverse / twistor space / Spin^q / 断熱変換 / カイラル / カイラルギャップ / スーパートレース / 断熱 / ディラック / トウィスター空間 / 四元数スピン / 四元数 / analytic torsion / Seiberg-Witten / eta invariant / signature operator / adiabatic limit / 解析的トーション / サイバーグ・ウィッテン / 指数作用素 / adiabatic expansion / asymptotic expansion / Laplacian / 山辺問題 / 初等関数表示 / ラプラス作用素 / 球面 / Tanno接続 / Tanaka-Webster接続 / Kohn-Rossi Laplacian / Heisenberg群 / CR-多様体 / Kohn-Rossi Lalacian / 漸近展開 / 増大度 / 葉層構造 / スカラー曲率 / トウィスター構造 / シンプレクティック構造 / twistor構造 / Spin^q構造 / Dirac作用素 / 四元数スピン構造 / 複素スピン構造 … More Except Principal Investigator Schouten bracket / 特異点 / Poisson manifold / generalized divergence / 葉層構造 / Dirac structure / almost Dirac structure / Lie algebroid / 特異葉層構造 / Leibniz cohomology / Leibniz algebra / Concircular scalar field / leaf invariant / symplectic foliation / Poisson cohomology / contact structure / 代数曲面 / 巡回被覆 / 本質的曲面 / 3次元多様体 / デーン手術 / 結び目 / 粘性解 / 特異境界条件 / 近似可制御性 / 可制御性 / 平面曲線 / 射影空間 / essential surface / 3-manifold / Dehn surgery / Knot / 結び目理論 / 3次元多様体論 / singular foliation / multi-vector field / ディラック構造 / 多重ベクトル場 / スカウテン・ブラケット / Poisson多様体 / variational equation / Hamilton-Jacobi equation / viscositv solution / optimal control theory / wave equation / singular boundary condition / Euler-Bernoulli equation / controllability / 最適化 / 微分ゲーム / 最短到達時間問題 / モーメント問題 / 多目的制御問題 / Kuhn-Tucker / オイラー・ビーム / 数理ファイナンス / 梁の方程式 / 有限伝播速度 / 発展方程式 / 変分方程式 / Hamilton-Jacobi方程式 / 最適制御理論 / 波動方程式 / オイラー・ベルヌイ方程式 / Pfaff system / singular foilation / central extension / Nambu-Poisson manifold / 南部・ヤコビブラケット / ポアソン・ブラケット / 南部多様体 / Fundamental Identity / Nambu-Jacobi多様体 / ヤコビ多様体 / ポアソン多様体 / Nambu-Poisson多様体 / パフ系 / 中心拡大 / Nambu-Possin多様体 / Variational problem / normal curvature tensor / Willmore surface / Simon conjecture / Minimal surface / ガウス曲率 / 曲率 / 楕円関数 / 変分問題 / 法曲率テンソル / Willmore曲面 / Simon予想 / 極小曲面 / Dirac manifold / Hirsch foliation / Spin / maximal multiplicity / projective equivalence / place at infinity / quadratic transformation / multiplicity sequence / cuspidal curve / rational curve / plane curve / 有理尖点曲線 / 変形 / 重複度 / 特異点解消 / 有理関数 / 環と体 / 重複度列 / 2次変換 / クレモナ変換 / 尖点 / 有理曲線 / 総ミルナー数 / singularity / Prehomogenous / Zeta function / ベルアン方程式 / CR部分多様体 / セキュリティー / ミルナ-数 / デジタル署名 / b関数 / 概均質ベクトル空間 / ゼータ関数 / foliation / monifold / modular group / projective space / singularities / algebraic surface / Betti number / cyclic covering / 概接触構造 / 量子束 / 4元数 / Bellman方程式 / 葉層 / 多様体 / モジュラー群 / ベッチ数 / モンジュ・アンペール方程式 / 接触構造 / オイラー・ラグランジュ方程式 / 包合系 / ボアソン幾何学 / Lie亜代数 / 接触多様体 / 描板 / スペンサーコホモロジー / ウェッブ構造 / 延長 / 接触変換 / G構造 / 外微分形式系 / 包合性 / 積分可能性 / ポアソン構造 / 微分トポロジー / 第二基本テンソル / 横断的 / Weyl接続 / 分布 / Kaehler多様体 / 直線バンドル / 田中-Webster接続 / 実超曲面 / CR-Weyl接続 / CR多様体 / 微分幾何 / レンズ空間 / XerCD / DNAの組み換え / FtsK / Xer / DNA / 双曲多様体 / 位相幾何 / Spin^q-structure / Robot arm / 最適制御問題 / Euler-Bernoulli方程式 / 局所可解性 / 解析的準楕円性 / 擬微分作用素 / Symplectic chracteristic / Dirac operator / spin^q structure / addiabatic limit / η-invariant / twistor space / quarternionic symplectic / ロボットアーム / 最適制御 / Kodaira dimension / minimal hypersurface / First normal space / ツィスター空間 / Dirac作用素 / スピン構造 / 群のコホモロジー / 微分同相群 / 特性類 / 超局所(microlral) / 概均質(prehomogeneouo) / 指数 / ガウス・ボンネ作用素 / L^2コホモロジ- / Shape Operator / 二次特性類 / L^2ードルボ-コホモロジ- / L^2ーコホモロジ- / 非完備ケ-ラ-多様体 / 積空間での固有値問題 / 波動方程式の境界条件 / 線型MHD作用素 / ドラ-ムの定理 / ヤコビ形式 / 複素射影空間 / 数論的代数曲面 / 数論的不連続群 Less

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 2023 2021 2013 2010 2009 2007 Other

All Journal Article

[Journal Article] On the Tanno connection and the Chern-Moser connection in almost CR-geometry2023
- Author(s)
  Masayoshi NAGASE
- Journal Title
  
  Hokkaido Math. J.
  
  Volume: 52 Issue: 1 Pages: 149-180
- DOI
  10.14492/hokmj/2021-505
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03219
[Journal Article] GETZLER’S SYMBOL CALCULUS AND THE COMPOSITION OF DIFFERENTIAL OPERATORS ON CONTACT RIEMANNIAN MANIFOLDS2023
- Author(s)
  Masayoshi NAGASE
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 60 Issue: 4 Pages: 799-813
- DOI
  10.18910/93061
- ISSN
  00306126
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03219
[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

NAGASE Masayoshi 長瀬 正義

長瀬 正義 ナガセ マサヨシ

Research Projects

Research Products

Co-Researchers

Contact Riemannian manifolds and the hermitian Tanno connectionPrincipal Investigator

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Review Section

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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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Principal 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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NAGASE Masayoshi 長瀬正義

長瀬正義ナガセマサヨシ