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J-GLOBAL ID:200901041443557195   Update date: Feb. 01, 2024

Morimoto Tohru

モリモト トオル | Morimoto Tohru
Affiliation and department:
Job title: Professor
Research field  (1): Geometry
Research keywords  (10): Cartan geometry ,  equivalence problems of geometric structures ,  filtered manifold ,  differential geometry ,  geometry of differential equations ,  Lie group ,  subriemannian geometry ,  Monge-Ampère equation ,  nilpotent analysis ,  nilpotent geometry
Research theme for competitive and other funds  (23):
  • 2017 - 2022 Klein-Cartan program for geometry and differential equations
  • 2011 - 2015 Development of nilpotent geometry and nilpotent analysis II
  • 2010 - 2014 Study on relations between differential equations and geometric structures by the method of twistor theory
  • 2008 - 2010 Study of Analysis on Manifolds
  • 2007 - 2009 Correlation between differential equations, geometric structures, and twistor theory
Show all
Papers (26):
  • Boris Doubrov, Tohru Morimoto. Extrinsic geometry and linear differential equations of sl(3)-type. arXiv:2308.06169v2[math DG]. 2023. 1-34
  • Jaehyun Hong, Tohru Morimoto. Prolongations, invariants, and fundamental identities of geometric structures. to appear in Differential Geometry and its Applications, arXiv:2203.05182. 2022. 1-64
  • Boris Doubrov, Yoshinori Machida, Tohru Morimoto. Extrinsic geometry and linear differential equations. SIGMA. 2021. 17. 61. 1-60
  • Kenro Furutani, Mauricio Godoy Molina, Irina Markina, Tohru Morimoto, Alexander Vasil'ev. Lie algebras attached to Clifford modules and simple graded Lie algebras. Journal of Lie Theory. 2018. 843-864
  • Tohru Morimoto. Cartan connection associated with a subriemannian structure. 2008. 26. 75-78
more...
MISC (2):
  • 森本 徹. 名著発掘 Elie Cartan『Lecons sur les invariants integraux(積分不変式講義)』『Les systemes differentiels exterieurs et leurs applications geometriques(外微分形式系と幾何への応用)』--エリー・カルタンの2冊の名著. 数学のたのしみ. 2002. 29. 98-104
  • 森本 徹. Repere mobile 幾何の見方. 数学のたのしみ. 2001. 26. 26. 97-106
Books (4):
  • 倉西数学への誘い 微分方程式の流れと幾何の光ーリー、カルタンから倉西そして現代へ
    岩波書店 2013
  • Developments of Cartan geometry and related mathematical problems
    RIMS Kokyuroku 2006
  • 21世紀の数学 幾何学の未踏峰
    日本評論社 2004
  • Lie groups, geometric structures and differential equations---one hundred years after Sophus Lie. Proceedings of the International Conference held at Kyoto University, Kyoto, and at Nara Women's University, Nara, December 1999
    Advanced Studies in Pure Mathematics, 37. Mathematical Society of Japan, Tokyo 2002
Lectures and oral presentations  (141):
  • Classify the systems of linear differential equations
    (Workshop on Parabolic Geometry and Related Topics 17-20 October 2023 Institute of Basic Science,Daejeon 2023)
  • The curvature of a subriemannian structure and that of a pseudo suriemannian structure
    (Conference Grieg meets Chopin, Warsaw meeting on geometric methods in science 2023)
  • Three dimensional contact submanifolds of special interest in the seven dimensional projective space and the associated systems of linear PDE’s of second order
    (Mini-workshop:Global Analysis and Geometry.Osaka Metropolitan University 2023)
  • On the history of geometry around 1823 and Kazan
    (Skim lecture, Seki Kowa Institute of Mathematics 2023)
  • Extrinsic geometries and linear differential equations of type sl3 and a general principle to determine all the transitive extrinsic geometries
    (Complex Analysis Seminar. Shizuoka University 2023)
more...
Education (2):
  • - 1969 Kyoto University
  • - 1967 Kyoto University Faculty of Science
Professional career (1):
  • Doctor of Science (Kyoto University)
Committee career (2):
  • 1992/04 - 1994/03 日本数学会 評議員
  • 1992/04 - 1994/03 Mathematical Society of Japan councilor
Association Membership(s) (2):
日本数学会 ,  Mathematical Society of Japan
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