四元数射影空间中常数量曲率的完备全实伪脐子流形  

Complete Totally Real Pseudo-umbilical Submanifolds with Constant Scalar Curvature in a Quaternion Projective Space

作　　者：朱静勇[1] 宋卫东[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《吉林大学学报（理学版）》2011年第5期865-869,共5页Journal of Jilin University:Science Edition

基　　金：安徽省教育厅自然科学基金(批准号:KJ2008A05zC);中国科协科普研究专项基金(批准号:2011KPYJD08)

摘　　要：利用广义极大值原理和自伴随微分算子研究四元数射影空间中常数量曲率完备全实伪脐子流形的Pinching问题,得到了两个该流形成为全测地或全脐的刚性定理.The authors studied the Pinching problem on submanifolds with constant scalar curvature in a quaternion projective space by means of the generalized maximal principle and self-adjoint differential operator,and obtained two rigidity theorems for submanifolds to be totally geodesic or totally umblilic.

关 键 词：四元数射影空间 常数量曲率 伪脐 

分 类 号：O186.13[理学—数学]