摘要
通过活动标架法,研究了复射影空间中具有常数量曲率的全实子流形,得到其成为全脐子流形的刚性定理,并推广了相关结果.
In this paper, by choosing a suitable frame field, we discussed the totally real submanifolds with constant scalar curvture in the complex projective space and obtain a rigidity theorem that it becomes totally umbilical submanifold and improve the related results.
出处
《纯粹数学与应用数学》
CSCD
2012年第6期749-756,共8页
Pure and Applied Mathematics
基金
安徽省高等学校优秀青年人才基金(2011SQRL021ZD)
安徽省高等学校自然科学研究项目基金(KJ2011Z149)
关键词
复射影空间
全实子流形
数量曲率
全脐
complex projective space, totally real submanifolds, scalar curvature, totally umbilical
