KOBAYASHI Shimpei Professor

Geometry

Organization
Department of Mathematics
Research Interest
Geometry
Keywords
Geometric structures, Integrable systems, Harmonic maps

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. Recently I am interested in a relation between geometric structures and integrable systems.

Papers

  • S.-P. Kobayashi, Real forms of complex surfaces of constant mean curvature, Trans. Amer. Math. Soc. 363 (2011), no. 4, 1765–1788.
  •  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
  • S.-P. Kobayashi, Minimal cylinders in the three-dimensional Heisenberg group, Mathematische Annalen, 388 (2024), no.3, 3299-3317.

WebPage

https://sites.google.com/site/kobayashishimpeisite/

contact

shimpei（at）math.sci.hokudai.ac.jp