HOMMA Yasushi 本間泰史

… Alternative Names

Researcher Number	50329108
Other IDs	https://orcid.org/0000-0002-7601-894X
External Links
Affiliation (Current)	2022: 早稲田大学, 理工学術院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2020: 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 / Global analysis / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Global analysis / Global analysis
Keywords	Principal Investigator ディラック作用素 / 幾何学 / スピン幾何学 / ワイゼンベック公式 / ラリタ・シュインガー作用素 / ラリタ-シュインガー作用素 / 対称空間 / 共形共変一階微分作用素 / 高次カシミール元 / ボホナー-ワイゼンベック公式 … More Except Principal Investigator Wess-Zumino-Witten actions / Conformally flat 4-manifolds / Dirac operator / Harmonic spinors / Residue theorem / Runge theorem / Riemann-Roch theorem / Faddeev-Hopf結び目 / 結び目 / 絡み目 / 渦流 / Vassiliev不変量 / ラグランジアン / ホップ不変量 / Axiomatic field theories / Conformally flat manifolds / WZWモデル / 調和スピノール / 共形平坦 / リーマン・ロッホ型定理 / 写像群の中心拡大 / Axiomatic field theory / スペクトル流 / 楕円型作用素 / Atryah-Patodi-Songer境界条件 / ゼーター正則化行列式 / 球空間形 / ヒルベルトツュシット作用素 / テプリッ作用素 / ベレージン変換 / spherical space form / lenz space / zeta正則化行列式 / 江上補間方法 / sub-Riemanian structure / Clifford module / Geometric Quantization / Reproducing Kernel / Pseudo-differential Operator / Segal-Bargmann Space / Hilbert-Schmidt Operator / Fock Space / hyper geometric sertes / 熱核 / ベキ零リー群 / 楕円関数 / Hormander Index / Spectral flow / 非局所的楕円型境界条件 / Geometric quantization / Pseudo-differential operator / spectral flow / elliptic openrator / Afrya-Patodi-singer bourdary conditior / Seta-wgataviged Deteiminant / Apkevical Apace form / Hilbert-Schmidt operator / Toplity openata / Beverin trans form Less

New developments in spin geometryPrincipal Investigator
- Principal Investigator
  
  本間泰史
- Project Period (FY)
  2019 – 2022
- 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 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] 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 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
- 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] 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] 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

HOMMA Yasushi 本間 泰史

本間 泰史 ホンマ ヤスシ

Research Projects

Research Products

Co-Researchers

New developments in spin geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on identites for generalized gradients associated to geometric structures and their applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development of spin geometry with the Rarita-Schwinger operatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on the first order differential operators associated to holonomy groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Analysis on Manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Field Theory and Spinor Analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Faddeev-Hopf結び目の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] スピン幾何学-スピノール場の数学-2016

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Spectra of the Rarita-Schwinger Operator on Some Symmetric Spaces2021

Author(s)

Journal Title

Data Source

[Journal Article] Pizzetti formula on the Grassmannian of 2-planes2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Twisted Dirac operators and generalized gradients2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Bochner-Weizenbrock formula and curvature actions on Riemanian manifolds2006

Author(s)

Journal Title

Data Source

[Journal Article] Estimating the eigenvalues on Quaternionic Kahler Manifolds2006

Author(s)

Journal Title

Data Source

HOMMA Yasushi 本間泰史

本間泰史ホンマヤスシ