A complete minimal hypersurface in de Sitter space-time of the first kind

Abstract

In the present paper we prove that a complete spacelike minimal hypersurface in de Sitter space-time of the first kind is a spherical space form if it has an integrable p-power of its scalar curvature for some posi­tive p.

Keywords

• de sitter space-time
• complete minimal hypersurface
• sphe­rical space form