2013 - 2018 Systematic development and application of methods in differential geometry and integrable systems motivated by quantum cohomology
2009 - 2012 可積分系を用いた微分幾何学と量子コホモロジーの新しい関係の構築
2011 - 2011 ループ群の複素化と実形による定曲率空間の曲面の構成
2008 - 2011 可積分系と保存量と変換の方法による特別な 性質をもつ曲面の漸近挙動の研究
2008 - 2010 定曲率空間内の曲面の可積分系の理論による構成的研究
2006 - 2009 定曲率空間の曲面とその特異点に関する微分幾何的研究
2006 - 2008 可積分系による量子コホモロジー・フロベニウス多様体・調和写像の研究
全件表示
論文 (38件):
Shimpei Kobayashi, Yuhei Kogo, Nozomu Matsuura. The Evolution of a Curve Induced by the Pohlmeyer-Lund-Regge Equation. Journal of Nonlinear Science. 2025. 35. 4. 85-85
DAVID BRANDER, SHIMPEI KOBAYASHI. Maximal surfaces in the Lorentzian Heisenberg group. Mathematical Proceedings of the Cambridge Philosophical Society. 2025. 1-30
Shimpei Kobayashi, Yu Ohno. A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions. Osaka Journal of Mathematics. 2025. 62. 2. 329-349
Shimpei Kobayashi. The Complex Landslide Flow and the Method of Integrable Systems. International Mathematics Research Notices. 2025. 2025. 7
Josef F. Dorfmeister, Roland Hildebrand, Shimpei Kobayashi. Half-Dimensional Immersions into the Para-Complex Projective Space and Ruh-Vilms Type Theorems. Results in Mathematics. 2024. 79. 7