International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 5, Pages 19545, 6 p.
doi:10.1155/IJMMS/2006/19545
Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature
Kairen Cai
and Huiqun Xu
Department of Mathematics, Hangzhou Teachers College, 222 Wen Yi Road, Hangzhou 310036, China
Abstract
The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that a compact connected hypersurface with positive constant higher-order mean curvature Hr for some fixed r , 1≤r≤n, immersed in the de Sitter space S1n+1 must be a sphere.