单位球面中极小子流形的内蕴刚性定理

The Intrinsic Rigidity Theorem For Minimal Submanifolds In a Unit Sphere

本文讨论了单位球面S^(n+p)中极小子流形的性质,给出了一个关于黎曼曲率张量长度平方的Pinching定理和一个用内蕴不等式刻划的分类定理。

In this paper, we get a pinching theorem of the length of Rie manniancurvature tensor and a intrinsic rigidity theorem for minimal submanifolds in a unit sphere S^(n+p).