International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 13, Pages 2053-2069
doi:10.1155/IJMMS.2005.2053

Compact space-like hypersurfaces in de Sitter space

Jinchi Lv

Department of Mathematics, Princeton University, Princeton 08544-1000, NJ, USA

Received 16 March 2005; Revised 7 June 2005

Copyright © 2005 Jinchi Lv. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present some integral formulas for compact space-like hypersurfaces in de Sitter space and some equivalent characterizations for totally umbilical compact space-like hypersurfaces in de Sitter space in terms of mean curvature and higher-order mean curvatures.