黎曼流形中具有平行平均曲率向量的子流形  

On Submanifolds with Parallel Mean Curvature Vector in Riemannian Manifolds

作　　者：张霞[1] 

机构地区：[1]南京理工大学理学院,南京210094

出　　处：《南京理工大学学报》2002年第4期414-419,共6页Journal of Nanjing University of Science and Technology

摘　　要：该文研究球面中具有平行平均曲率向量的子流形 ,将所得结果推广到一般拼挤流形上 。This paper studies the submanifolds with parallel mean curvature vector in a sphere, extends the obtained results to the general pinched Riemannian manifold,and gives an integral inequality for isometric immersed submanifolds with parallel mean curvature vector in pinched manifolds.

关 键 词：黎曼流形 平行平均曲率向量 子流形 黎曼曲率张量 

分 类 号：O186.12[理学—数学]