Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面  

Campact Hypersurfaces with Constant Mean Curvature in Riemannian Manifolds with Parallel Ricci Curvature

作　　者：郑媛[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2009年第3期189-192,198,共5页Journal of Hangzhou Normal University(Natural Science Edition)

摘　　要：主要研究了Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面,得到了J.Simons型积分不等式,推广了局部对称空间中该超曲面的有关结果.This paper studies the hypersurfaces with constant mean curvature in a d-pinched Riemannian manifold with parallel Ricci curvature, sets up a kind of J. Simons inequality and generalizes some relative results about these hypersurfaces in the locally symmetric manifiold.

关 键 词：平行Ricci曲率 常平均曲率 积分不等式 

分 类 号：O186.12[理学—数学]