数学杂志2012,Vol.32Issue(2):323-330,8.
复射影空间中具有平行平均曲率向量的一般子流形
GENERIC SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE COMPLEX PROJECTIVE SPACE
摘要
Abstract
In this paper, the authors study the relationship between properties on curvature and geometry of the submanifulds with parallel mean curvature vector in the complex projective space. By using moving-frame method, the rigidity theorems on sectional curvature, Ricci curvature and the length of second fundamental form are obtained, which generalize and improve some results of the relevant literature.关键词
复射影空间/一般子流形/平均曲率Key words
complex projective space/ generic submanifold/ mean curvature分类
数理科学引用本文复制引用
尹松庭,宋卫东,张量..复射影空间中具有平行平均曲率向量的一般子流形[J].数学杂志,2012,32(2):323-330,8.基金项目
安徽省高等学校优秀青年人才基金项目(2011SQRL021ZD) (2011SQRL021ZD)
安徽高校省级自然科学研究一般项目(KJ2012B197). (KJ2012B197)