De Sitter 空间中全脐类空超曲面的分类

摘要

We consider the MYMkMYM-th mean curvature for spacelike hypersurfaces, which is a generalization of the usual mean curvature.By using an integral formula of Minkowski type for compact spacelike hypersurfaces in S n+11 , we introduce some characterizations of totally umbilical hypersurfaces.%我们讨论de Sitter空间中类空超曲面的第K平均曲率，并利用积分公式得到了全脐超曲面的分类。