局部对称拟常曲率黎曼流形中的紧致子流形  

On Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Quasi-constant Riemannian manifold

作　　者：李明图[1] Li Mingtu(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》2018年第2期1-3,共3页Journal of Tianshui Normal University

摘　　要：讨论了局部对称拟常曲率流形具有单位平行平均曲率向量的紧致子流形,通过一个代数引理,得到了关于第二基本形式模长平方σ的一个拼挤定理,改进了已有的结果.In this paper, we discuss Submanifolds with parallel mean curvature vector in locally symmetric quasiconstant Riemannian manifold, by using a algebraic inequality, we obtain a upper bound to the norm of the second fundamental form, which is being to improve the known result.

关 键 词：拟常曲率流形 局部对称 平行平均曲率向量 

分 类 号：O186.12[理学—数学]