| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606546 | Differential Geometry and its Applications | 2006 | 11 Pages |
Abstract
We prove that a bounded, complete hypersurface in hyperbolic space with normal curvatures greater than −1 is diffeomorphic to a sphere. The completeness condition is relaxed when the normal curvatures are bounded away from −1. The diffeomorphism is constructed via the Gauss map of some parallel hypersurface. We also give bounds for the total curvature of this parallel hypersurface.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis J. Alías, Takashi Kurose, Gil Solanes,