关于紧致极小子流形的内蕴刚性

On Intrinsic Rigidity for Compact Minimal Submanifolds

本文讨论了局部对称共形平坦黎曼流形的紧致极小子流形，给出了几个内蕴刚性定理，改进了文献［２］的结论，推广了Ｎ．Ｅｊｉｒｉ和李安民等人的结果。

This paper considers compact minimal submanifolds in a locally symmetric and conformally flat Riemann manifold. Three intrinsic rigidity theorems are given for compact minimal submanifolds. Some results abtained by N. Ejiri and Li, respectively, are generalized.