极小子流形的一个刚性定理

A Pinching Theorem for Submanifolds of Conformally Flat Riemannian Manifolds

首先得到一个推广Simons型积分不等式,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的已有结果。

The author first works out a generalized Simons inequality,then proves a pinching theorem of minimal submanifolds to the ambient Ricmannian manifolds by using the generalized inequality.