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 (30件):
Tim Hoffmann, Shimpei Kobayashi, Zi Ye. Discrete constant mean curvature surfaces on general graphs. Geometriae Dedicata. 2022. 216. 6
Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi. Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group. Complex Manifolds. 2022. 9. 1. 285-336
Hirotaka Kiyohara, Shimpei Kobayashi. Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group. The Journal of Geometric Analysis. 2022. 32. 8
Shimpei Kobayashi, Yu Ohno. On a constant curvature statistical manifold. Information Geometry. 2022
Hitoshi Furuhata, Jun-ichi Inoguchi, Shimpei Kobayashi. A characterization of the alpha-connections on the statistical manifold of normal distributions. Information Geometry. 2021. 4. 1. 177-188