KOBAYASHI, Shimpei

- Position
- Associate Professor
- Organization
- Department of Mathematics
- Research Interest
- Differential geometry, Integrable systems
- Research Activities
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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 3-space via loop groups, J. Reine Angew. Math. 686 (2014), 1-36
[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), 207-253.
- Keywords
- Constant mean curvature surfaces, Harmonic maps, Infinite dimensional Lie groups, Integrable systems, Linear ordinary differential equation.
- WebPage
- https://sites.google.com/site/kobayashishimpeisite/