中文摘要：

研究de Sitter空间Sn＋11（1）和anti-de Sitter空间Hn＋11（-1）中的紧致类空超曲面.利用Minkowski型积分公式,证明当高阶平均曲率Hk满足适当条件时,该超曲面是全脐的.

英文摘要：

Compact space-like hypersurface in de Sitter space and anti-de Sitter space is studied. Under certain conditions about higher-order mean curvatures, it is proved by using Minkowski-type integral formula that this hypersurface is totally umbilical.