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HOMMA Yasushi  本間 泰史

… Alternative Names

本間 泰史  ホンマ ヤスシ

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Researcher Number 50329108
Other IDs
  • ORCIDhttps://orcid.org/0000-0002-7601-894X
External Links
Affiliation (Current) 2025: 早稲田大学, 理工学術院, 教授
Affiliation (based on the past Project Information) *help 2019 – 2024: 早稲田大学, 理工学術院, 教授
2015 – 2017: 早稲田大学, 理工学術院, 教授
2012: 早稲田大学, 理工学術院, 教授
2010 – 2011: 早稲田大学, 理工学術院, 准教授
2007 – 2008: Waseda University, 理工学術院, 准教授
2005 – 2006: 東京理科大学, 理工学部, 助手
2001 – 2002: 早稲田大学, 理工学部, 助手
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related / Global analysis
Except Principal Investigator
Global analysis / Global analysis / Geometry
Keywords
Principal Investigator
ディラック作用素 / スピン幾何学 / 幾何学 / ラリタ・シュインガー場 / クリフォード解析 / 対称空間 / ラリタ-シュインガー作用素 / ラリタ・シュインガー作用素 / ワイゼンベック公式 / クリフォード代数 … More / 四元数ケーラー幾何学 / Howe双対性 / 定曲率空間 / 高次スピン / Higgs代数 / higher spin / ケーリー・ラプラス作用素 / ヒッグス代数 / 実グラスマン多様体 / 高階スピン / ラリタ-シュインガー場 / スピノール場 / アインシュタイン多様体 / ラプラス作用素 / 幾何構造 / スピン幾何 / 微分幾何 / エータ関数 / 微分幾何学 / 四元数ケーラー多様体 / ツイスター / 球面調和多項式 / コーシー核 / カシミール元 / 消滅定理 / Dirac作用素 / 固有値評価 / ケーラー多様体 / カシミール作用素 / 普遍展開環 / ボホナー-ワイゼンベック公式 / 高次カシミール元 / 共形共変一階微分作用素 … More
Except Principal Investigator
Riemann-Roch theorem / Runge theorem / Residue theorem / Harmonic spinors / Dirac operator / Conformally flat 4-manifolds / Wess-Zumino-Witten actions / Beverin trans form / Toplity openata / Hilbert-Schmidt operator / Apkevical Apace form / Seta-wgataviged Deteiminant / Afrya-Patodi-singer bourdary conditior / elliptic openrator / spectral flow / Pseudo-differential operator / Geometric quantization / 非局所的楕円型境界条件 / Spectral flow / Hormander Index / 楕円関数 / ベキ零リー群 / 熱核 / hyper geometric sertes / Fock Space / Hilbert-Schmidt Operator / Segal-Bargmann Space / Pseudo-differential Operator / Reproducing Kernel / Geometric Quantization / Clifford module / sub-Riemanian structure / 江上補間方法 / zeta正則化行列式 / lenz space / spherical space form / ベレージン変換 / テプリッ作用素 / ヒルベルトツュシット作用素 / 球空間形 / ゼーター正則化行列式 / Atryah-Patodi-Songer境界条件 / 楕円型作用素 / スペクトル流 / Axiomatic field theory / 写像群の中心拡大 / リーマン・ロッホ型定理 / 共形平坦 / 調和スピノール / WZWモデル / Conformally flat manifolds / Axiomatic field theories / ホップ不変量 / ラグランジアン / Vassiliev不変量 / 渦流 / 絡み目 / 結び目 / Faddeev-Hopf結び目 Less
  • Research Projects

    (9 results)
  • Research Products

    (23 results)
  • Co-Researchers

    (13 People)
  •  Spin Geometry and Clifford AnalysisPrincipal Investigator

    • Principal Investigator
      本間 泰史
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Waseda University
  •  New developments in spin geometryPrincipal Investigator

    • Principal Investigator
      HOMMA Yasushi
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Waseda University
  •  Study on identites for generalized gradients associated to geometric structures and their applicationsPrincipal Investigator

    • Principal Investigator
      HOMMA Yasushi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Waseda University
  •  Development of spin geometry with the Rarita-Schwinger operatorsPrincipal Investigator

    • Principal Investigator
      HOMMA Yasushi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Waseda University
  •  Study on the first order differential operators associated to holonomy groupsPrincipal Investigator

    • Principal Investigator
      HOMMA Yasushi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Waseda University
      Tokyo University of Science
  •  Study of Analysis on Manifolds

    • Principal Investigator
      FURUTANI Kenro
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo University of Science
  •  ディラック作用素とクリフォード代数の一般化と諸分野への応用Principal Investigator

    • Principal Investigator
      本間 泰史
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  Geometry of Field Theory and Spinor Analysis

    • Principal Investigator
      KORI Tosiaki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  Faddeev-Hopf結び目の研究

    • Principal Investigator
      村上 斉
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology

All 2023 2021 2020 2019 2016 2015 2012 2010 2006 2005 Other

All Journal Article Presentation Book

  • [Book] スピン幾何学-スピノール場の数学-2016

    • Author(s)
      本間泰史
    • Total Pages
      256
    • Publisher
      森北出版
    • Data Source
      KAKENHI-PROJECT-15K04858
  • [Journal Article] The spinor and tensor fields with higher spin on spaces of constant curvature2021

    • Author(s)
      Yasushi HOMMA, Takuma TOMIHISA
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 60 Issue: 4 Pages: 829-861

    • DOI

      10.1007/s10455-021-09791-4

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03480, KAKENHI-PROJECT-18H03668
  • [Journal Article] Spectra of the Rarita-Schwinger Operator on Some Symmetric Spaces2021

    • Author(s)
      Homma Y.、Tomihisa T.
    • Journal Title

      Journal of Lie Theory

      Volume: 31 Pages: 249-264

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Journal Article] Pizzetti formula on the Grassmannian of 2-planes2020

    • Author(s)
      Eelbode D.、Homma Y.
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 58 Issue: 3 Pages: 325-350

    • DOI

      10.1007/s10455-020-09731-8

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Journal Article] Twisted Dirac operators and generalized gradients2016

    • Author(s)
      Yasushi Homma
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 印刷中 Issue: 2 Pages: 101-127

    • DOI

      10.1007/s10455-016-9503-7

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04858
  • [Journal Article] Bochner-Weizenbrock formula and curvature actions on Riemanian manifolds2006

    • Author(s)
      Yasushi Homma
    • Journal Title

      Transactions of A.M.S 358

      Pages: 87-114

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Journal Article] Estimating the eigenvalues on Quaternionic Kahler Manifolds2006

    • Author(s)
      Yasushi Homma
    • Journal Title

      International Journal of Mathematics Vol.17,No.6

      Pages: 665-691

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740036
  • [Journal Article] Estimating the eigenvalues on Quaternionic Kahler Manifolds2006

    • Author(s)
      Yasushi Homma
    • Journal Title

      International Journal of Mathematics Vol.17 No. 6

      Pages: 665-691

    • Data Source
      KAKENHI-PROJECT-18740036
  • [Journal Article] Bochner identities for Kahlerian gradients2005

    • Author(s)
      Yasushi Homma
    • Journal Title

      Mathematische Annalen 333

      Pages: 181-211

    • Data Source
      KAKENHI-PROJECT-17540202
  • [Presentation] Rarita-Schwinger fields on Einstein manifolds2023

    • Author(s)
      Yasushi HOMMA
    • Organizer
      Semiclassic seminar at University of Cologne
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] Higgs algebra in harmonic analysis on the Grassmannian of 2-planes2023

    • Author(s)
      本間泰史
    • Organizer
      mini-workshop, Global analysis and geometrry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] 定曲率空間上のスピノール解析2021

    • Author(s)
      富久拓磨, 本間泰史
    • Organizer
      日本数学会 年会
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] Pizzetti formula on the Grassmannian of 2-planes2021

    • Author(s)
      本間泰史, David Eelbode
    • Organizer
      日本数学会 年会
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] Higgs algebra in harmonic analysis on the Grassmannian of 2-planes2021

    • Author(s)
      本間泰史
    • Organizer
      第68回幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] 対称空間上のRarita-Schwinger作用素の固有値について2020

    • Author(s)
      富久拓磨, 本間泰史
    • Organizer
      日本数学会 秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] The Rarita-Schwinger Operator and Spin Geometry2019

    • Author(s)
      Yasushi HOMMA
    • Organizer
      The second Taiwan-Japan Joint Conference on Differential Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03480
  • [Presentation] The Rarita-Schwinger operator on Einstein spin manifolds2015

    • Author(s)
      本間泰史
    • Organizer
      日本数学会2015年度秋季総合分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-15K04858
  • [Presentation] The Rarita-Schwinger operator on Einstein spin manifolds2015

    • Author(s)
      本間泰史
    • Organizer
      数理物理・幾何ミニワークショップ
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-08-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04858
  • [Presentation] The Rarita-Schwinger operator on Einstein spin manifolds2015

    • Author(s)
      本間泰史
    • Organizer
      研究集会「非可換幾何学と数理物理学」
    • Place of Presentation
      慶応大学
    • Year and Date
      2015-07-24
    • Data Source
      KAKENHI-PROJECT-15K04858
  • [Presentation] ディラック作用素などの幾何学的一階微分作用素の話2012

    • Author(s)
      本間泰史
    • Organizer
      関東若手幾何セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2012-12-20
    • Data Source
      KAKENHI-PROJECT-22740047
  • [Presentation] The Rarita-Schwinger operator (spin 3/2 Dirac operator)について2010

    • Author(s)
      本間泰史
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      休暇村南阿蘇
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-22740047
  • [Presentation] The Rarita-Schwinger operator(spin 3/2 Dirac operator)について2010

    • Author(s)
      本間泰史
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      休暇村南阿蘇
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-22740047
  • [Presentation] ディラック作用素などの幾何学的一階微分作用素の話

    • Author(s)
      本間泰史
    • Organizer
      第5回関東若手幾何セミナー
    • Place of Presentation
      首都大学東京
    • Data Source
      KAKENHI-PROJECT-22740047
  • 1.  鈴木 達夫 (70318799)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  村上 斉 (70192771)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  落合 啓之 (90214163)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  牛島 顕 (50323803)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  筧 三郎 (60318798)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  KORI Tosiaki (50063730)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  FURUTANI Kenro (70112901)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  IWASAKI Chisato (30028261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  MORIMOTO Tohru (80025460)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  BAUER Wdfram (80453819)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  小林 嶺道 (70120186)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  小林 隆夫 (90178319)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  大野 走馬 (60979821)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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