伪黎曼空间型中具有平行平均曲率的类空子流形

On the Parrallel Mean Curvature Spacelike Submanifolds in a Pseudo-Riemannian Space Form

文章研究了伪黎曼空间型中具有平行平均曲率的紧致类空子流形,得到了这类子流形的一个刚性定理。

This paper deals with the paralleled mean curvature of the compact umbilical space like submanifolds in a pseudo-Riemannian Space, and obtains a rigidity theorem.