Biharmonic Submanifolds with Parallel Mean Curvature Vector in Pseudo-Euclidean Spaces

被引：0
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作者：
Yu Fu
机构：
[1] Dongbei University of Finance and Economics,School of Mathematics and Quantitative Economics
来源：
Mathematical Physics, Analysis and Geometry | 2013年 / 16卷
关键词：
Biharmonic submanifolds; Parallel mean curvature vector; Marginally trapped surface; Pseudo-Euclidean space; 53D12; 53C40; 53C42;
D O I：
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学科分类号：
摘要：
In this paper, we investigate biharmonic submanifolds in pseudo-Euclidean spaces with arbitrary index and dimension. We give a complete classification of biharmonic spacelike submanifolds with parallel mean curvature vector in pseudo-Euclidean spaces. We also determine all biharmonic Lorentzian surfaces with parallel mean curvature vector field in pseudo-Euclidean spaces.
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页码：331 / 344
页数：13
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