局部对称拟常曲率黎曼流形中的极小子流形  

Minimal Submanifolds in Locally Symmetric Riemannian Manifold of Quasi-constant Curvature

作　　者：李明图[1] 裴瑞昌[1] Li Mingtu;Pei Ruichang(School of Mathematics and Statistics,Tianshui Normal University,Tianshui Gansu 741001,China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《天水师范学院学报》2020年第5期13-15,共3页Journal of Tianshui Normal University

基　　金：国家自然科学基金资助项目(11661070)阶段性成果。

摘　　要：研究了局部对称拟常曲率黎曼流形中的紧致极小子流形N^(n+p),在ξ∈(TM)或ξ⊥Υ(TM)时,分别得到了相应的Simons型积分不等式.Let N^(n+p) be a(n+p)-dimensional locally symmetry Riemannian manifold of quasi-constant curvature,and M^(n) is a n-dimensional compact minmal submanifold of N^(n+p) when ξ is tangent to TM or normal to TM,we obtain two Simons-type integral inequalities respectively,which generalizes the known result to professor Li.

关 键 词：局部对称 紧致 极小 积分不等式 

分 类 号：O186.1[理学—数学]