Proper Biharmonic Submanifolds in a Sphere  

作　　者：Xian Feng WANG Lan WU 

机构地区：[1]School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,P.R.China [2]Department of Mathematics,Renmin University of China,Beijing 100872,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2012年第1期205-218,共14页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.10701007)

摘　　要：In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations of some proper biharmonic submanifolds with parallel mean curvature vector in a sphere. We also construct some new examples of proper biharmonic submanifolds in a sphere.In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations of some proper biharmonic submanifolds with parallel mean curvature vector in a sphere. We also construct some new examples of proper biharmonic submanifolds in a sphere.

关 键 词：Proper biharmonic map parallel mean curvature vector mean curvature 

分 类 号：O186.12[理学—数学] TE626.86[理学—基础数学]