摘要
本文讨论了复射影空间的偶维紧致全实极小于流形,得到了几个关于第二基本形式模的平方的整体pinching定理,进而得到了使该类子流形成为全测地子流形的几个充分条件。
The even dimensional compact totally real minimal submanifolds in complex projective spaces are studled and some global pinching theorems on the square length of the second fundamental form are obtained. Thus, some sufficient conditions under which the submanifolds of this kind become totally geodesic are given.
关键词
复射影空间
PINCHING定理
Submanifolds
compactness
the second fundamental form
pinching theorems
