Biharmonic submanifolds with parallel mean curvature vector field in spheres

被引：23
作者：
Balmus, A. [1 ]
Oniciuc, C. [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 386卷 / 02期
关键词：
Biharmonic maps; Biharmonic submanifolds; Minimal submanifolds; Mean curvature; HYPERSURFACES;
D O I：
10.1016/j.jmaa.2011.08.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean curvature vector field in spheres is obtained. Then, we completely classify the proper biharmonic submanifolds in spheres with parallel mean curvature vector field and parallel Weingarten operator associated to the mean curvature vector field. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：619 / 630
页数：12
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