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复射影空间中全实子流形的刚性
引用本文:周俊东,徐传友,宋卫东.复射影空间中全实子流形的刚性[J].数学杂志,2015,35(5):1139-1147.
作者姓名:周俊东  徐传友  宋卫东
作者单位:阜阳师范学院数学与金融学院, 安徽 阜阳 236023,阜阳师范学院数学与金融学院, 安徽 阜阳 236023,安徽师范大学数学与计算机科学学院, 安徽 芜湖 241000
基金项目: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.

关 键 词:复射影空间  伪脐子流形  截面曲率
收稿时间:2013/8/28 0:00:00
修稿时间:2014/3/12 0:00:00

THE RIGIDITY OF TOTALLY REAL SUBMANIFOLDS IN A COMPLEX PROJECTIVE SPACE
ZHOU Jun-dong,XU Chuan-you and SONG Wei-dong.THE RIGIDITY OF TOTALLY REAL SUBMANIFOLDS IN A COMPLEX PROJECTIVE SPACE[J].Journal of Mathematics,2015,35(5):1139-1147.
Authors:ZHOU Jun-dong  XU Chuan-you and SONG Wei-dong
Institution:School of Mathematics and Finance, Fuyang Normal College, Fuyang 236037, China,School of Mathematics and Finance, Fuyang Normal College, Fuyang 236037, China and School of Math. and Computer Science, Anhui Normal University, Wuhu 241000, China
Abstract: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.
Keywords:complex projective space  pseudo-umbilical submanifolds  sectional curvature
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