Abstract
In this paper we will report on our recent studies on curvature properties of space-like hypersurfaces in de Sitter space. In particular, we will state certain estimates for the higher order mean curvatures, the scalar curvature and the Ricci curvature of complete space-like hypersurfaces in de Sitter space. We will also establish a sufficient condition for a compact space-like hypersurface in de Sitter space to be spherical in terms of a lower bound for the square of its mean curvature.
Information
Published: 1 January 2001
First available in Project Euclid: 5 June 2015
zbMATH: 1082.53053
MathSciNet: MR1815631
Digital Object Identifier: 10.7546/giq-2-2001-72-81
Rights: Copyright © 2001 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
