局部对称共形平坦黎曼流形中伪脐子流形

On pseudo-umbilical submanifolds in a locally symmetric conformally flat riemannian manifold

研究了局部对称共形平坦黎曼流形中紧致的伪脐子流形,给出了一个Simons型积分不等式.将[1,2]中的积分不等式推广到局部对称共形平坦黎曼流形中的伪脐子流形.

In this paper, we discussed the compact speudo - umbilical submanifolds in a locally symmetric conformally flat Riemannian manifold. We give an integral inequality of simons＇ trpe. The results of[1,2] were generatized to pseudo umbilical submanilolds a locally symmetric conformally flat riemannian manilod.