International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 19545, 6 pages
Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature
Department of Mathematics, Hangzhou Teachers College, 222 Wen Yi Road, Hangzhou 310036, China
Received 26 March 2006; Accepted 26 March 2006
Copyright © 2006 Kairen Cai and Huiqun Xu. 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.
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 for some fixed , , immersed in the de
Sitter space must be a sphere.