Curvature properties of compact spacelike hypersurfaces in de Sitter space |
| |
Institution: | 1. Departamento de Matemáticas, Universidad de Castilla-La Mancha, Escuela Politécnica Superior de Albacete, 02071 Albacete, Spain;2. Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, Spain |
| |
Abstract: | In this paper we establish a sufficient condition for a compact spacelike hypersurface in de Sitter space to be spherical in terms of a lower bound for the square of its mean curvature. Our result will be a consequence of the maximum principle for the Laplacian operator. We also derive some other applications and consequences of our main result. In particular, we establish another sufficient condition for a compact spacelike hypersurface in de Sitter space to be spherical in terms of a pinching condition for its scalar curvature, as well as in terms of the Ricci curvature and in terms of the higher order mean curvatures |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|