Constant mean curvature hypersurfaces in deSitter-Schwarzschild space
Presenter
November 4, 2011
Keywords:
- Shiing-Shen Chern
- differential geometry
- hyperbolic geometry
- Minkowski space
- Alexandrov's theorem
- constant mean curvature
- conditions to be spheres
MSC:
- 53-xx
- 53A10
- 53A35
- 53C44
- 54C25
Abstract
We prove an analogue of Alexandrov's theorem in deSitter-Schwarzschild space. More precisely, show that any hypersurface of constant mean curvature in deSitter-Schwarzschild space is a coordinate sphere