局部对称流形中的完备子流形

Complete Submanifolds in a Locally Symmetric Manifold

对局部对称完备黎曼流形Nn+p中的完备极小子流形Mn进行了研究,得到了这类子流形第二基本形式模长平方的一个拼挤定理。

In this paper, we study complete minimal submanifolds in a locally symmetric Riemannian manifold, and get a pingching theorem of the square length of the second fundamental form of these submanifolds.