S^(n+p)中Mbius第二基本形式平行的子流形的刚性定理

On Rigidity Theorem of Submanifolds with Parallel Mbius Second Fundamental Form in S^(n+p)

研究S^(n+p)中不含脐点且Mbius第二基本形式平行的子流形,得到了它的Blaschke张量A的模长平方有下界,且对其达到下界的情形进行了分类.

We study umbilic free submanifolds with parallel Mbius second fundamental form.We find the squared norm of the Blashke tensor A has a lower bound for these submanifolds,and we get a classification result when it reaches the lower bound.