复射影空间中全实子流形的刚性（英文）  

THE RIGIDITY OF TOTALLY REAL SUBMANIFOLDS IN A COMPLEX PROJECTIVE SPACE

作　　者：周俊东[1] 徐传友[1] 宋卫东[2] 

机构地区：[1]阜阳师范学院数学与金融学院,安徽阜阳236023 [2]安徽师范大学数学与计算机科学学院,安徽芜湖241000

出　　处：《数学杂志》2015年第5期1139-1147,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11101352);Natural Science Foundation of Anhui Educational Committee(KJ2013Z263);Provincial Natural Science Research Programme Foundation of Anhui’s Universities(2014KJ002)

摘　　要：本文研究了复射影空间中的全实子流形.通过使用活动标架的方法和DDVV不等式,得到了两个刚性定理和一个积分不等式,改进了相关的结果.In this paper, we investigate totally real submanifolds in a complex projective space. By using moving-frame method and the DDVV inequality, we obtain two rigidity theorems and an integral inequality, improve the related results.

关 键 词：复射影空间 伪脐子流形 截面曲率 

分 类 号：O186.12[理学—数学]