We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Spacelike Hypersurfaces with Constant Mean Curvature in the Steady State Space.
- Authors
Colares, A. Gervasio; De Lima, Henrique F.
- Abstract
In this paper we obtain height estimates concerning to a compact spacelike hypersurface ∑n immersedwith constantmean curvature H in the Steady State space Hn+1, when its boundary is contained into some hyperplane of this spacetime. As a first application of these results, when ∑n has spherical boundary, we establish relations between its height and the radius of its boundary. Moreover, under a certain restriction on the Gauss map of ∑n, we obtain a sharp estimate for H. Finally, we also apply our estimates to describe the end of a complete spacelike hypersurface and to get theorems of characterization concerning to spacelike hyperplanes in Hn+1.
- Subjects
HYPERSURFACES; CURVATURE; ESTIMATES; HYPERBOLIC spaces; HYPERPLANES; GAUSS maps
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2010, Vol 17, Issue 2, p287
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1274896207