摘要
研究了2个嵌套空间中的子流形,介绍了拟常曲率黎曼流形中的常曲率黎曼子流形中的紧致极小子流形,给出了这种极小子流形是全测地子流形的4个充分条件.
In this paper,submanifolds in two nested spaces are discussed.For the constant submanifolds in quasi-constant curvature Riemannnian manifold and the minimal submanifolds in constant submanifolds,four sufficient conditions are given for the minimal submanifolds to be totally geodesic submanifolds in constant submanifolds.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第6期42-45,共4页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
拟常曲率黎曼流形
极小子流形
全测地
quasi-constant curvature Riemannnian manifold
minimal submanifold
totally geodesic
