平行Ricci曲率黎曼流形中具有平行中曲率向量的子流形  

Submanifolds with Parallel Mean Curvature Vector in a Riemannian Manifolds with Parallel Ricci Curvature

作　　者：何水军[1] 陈抚良[1] 段仁杰[1] 

机构地区：[1]江西师范大学数信学院,江西南昌330022

出　　处：《江西科学》2011年第3期313-316,共4页Jiangxi Science

摘　　要：研究了具有平行Ricci曲率黎曼流形中具有平行中曲率向量的子流形。获得了J.simons型积分不等式,推广了局部对称空间该类子流形的相关结果。We study the submanifolds with parallel mean curvature vector in a Riemannian manifolds with parallel Ricci curvature.We obtain an integral inequality of simons′type.The result of submanifolds with parallel mean curvature vector in a locally symmetric δ-pinching Riemannian manifold is generalized.

关 键 词：平行Ricci曲率 平行中曲率向量 积分不等式 

分 类 号：O186[理学—数学]