局部对称共形平坦黎曼流形中紧致极小子流形的一个刚性定理

A Pinching Theorem of Minimal Submanifolds to Ambient Riemannian Manifolds

中文关键词:  局部对称  共形平坦  紧致极小子流形  Ricci曲率

英文关键词:locally symmetric and conformally flat  compact minimal submanifolds  Ricci curvature.

中文摘要:

      本文研究局部对称共形平坦黎曼流形中紧致极小子流形,得到了这类子流形第二基本形式模长平方关于外围空间Rjcci曲率的一个拼挤定理,推广了文[1]中的结果.

英文摘要:

      In this paper, the author works out a pinching theorem of compact minimal submanifolds of locally symmetric and conformally flat Riemannian manifolds. The result in this paper generalizes the theorem in Li^[1].