KOBAYASHI, Shimpei
 Position
 Associate Professor
 Organization
 Department of Mathematics
 Research Interest
 Differential geometry, Integrable systems
 Research Activities

Constant mean curvature surfaces are given by solutions of a variational problem and have been studied for long time.
On the one hand, it is known that the structure equation of the constant mean curvature surface is an integrable equation.
I am working on these constant mean curvature surfaces and their generalization, harmonic maps, using theory of integrable systems.  Papers
 [1] S.P. Kobayashi, Real forms of complex surfaces of constant mean curvature, Trans. Amer. Math. Soc. 363 (2011), no. 4, 1765–1788.
 [2] J. F. Dorfmeister, J. Inoguchi, S.P. Kobayashi, Constant mean curvature surfaces in hyperbolic 3space via loop groups, J. Reine Angew. Math. 686 (2014), 136
 [3] J. F. Dorfmeister, J. Inoguchi, S.P. Kobayashi, A loop group method for affine harmonic maps into Lie groups, Advances in Mathematics, 298 (2016), 207253.
 Keywords
 Constant mean curvature surfaces, Harmonic maps, Infinite dimensional Lie groups, Integrable systems, Linear ordinary differential equation.
 WebPage
 https://sites.google.com/site/kobayashishimpeisite/