共形平坦黎曼流形中紧致极小子流形的一个刚性定理

摘要

This paper firstly works out a generalized Simons inequality and then deduces a pinching theorem of minimal sub-manifolds in a conformally flat Riemannian manifold by using it.And this theorem generalizes Li's theorem.%首先得到一个推广的Simons积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形的一个拼挤定理,推广了Li的定理.