Constant mean curvature surfaces in Riemannian manifolds
Presenter
November 3, 2011
Keywords:
- Shiing-Shen Chern
- differential geometry
- Riemannian geometry
- mean curvature
- constant curvature
- Gaussian curvature
- minimal surfaces
MSC:
- 53-xx
- 53A10
- 53Axx
- 53A05
- 53C44
- 53Cxx
Abstract
I will give an overview of some recent constructions of constant mean curvature surfaces in Riemannian manifolds. I will also review some properties of constant mean curvature surfaces with large mean curvature which, together with the known examples, shed light on the structure of the space of such geometric objects.