When strictly locally convex hypersurfaces are embedded
Differential Geometry
2010-03-02 v1
Abstract
In this paper we will prove Hadamard-Stoker type theorems in the following ambient spaces: \man ^n \times \r, where is a pinched manifold, and certain Killing submersions, e.g., Berger spheres and Heisenberg spaces. That is, under the condition that the principal curvatures of an immersed hypersurfaces are greater than some non-negative constant (depending on the ambient space), we prove that such a hypersurface is embedded and we also study its topology.
Cite
@article{arxiv.1003.0101,
title = {When strictly locally convex hypersurfaces are embedded},
author = {Jose M. Espinar and Harold Rosenberg},
journal= {arXiv preprint arXiv:1003.0101},
year = {2010}
}