嵌套空间中极小子流形的两个Pinching定理  

Two Pinching Theorems about Minimal Submanifolds in Nested Space

作　　者：肖玉萍[1] 姚纯青[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2012年第6期42-45,共4页Journal of Southwest China Normal University(Natural Science Edition)

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.

关 键 词：拟常曲率黎曼流形 极小子流形 全测地 

分 类 号：O186.1[理学—数学]