Some Bernstein-type rigidity theorems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Barroso Neto, Nilton Moura¹  Wang, Qiaoling¹ 

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

关键词: Bernstein rigidity;    Submanifolds;    Minimal;    Constant mean curvature;   

DOI  :  10.1016/j.jmaa.2011.12.013

来源: Elsevier

【 摘 要 】

We prove some Bernstein-type rigidity theorems for complete submanifolds in a Euclidean space and space-like submanifolds of a Lorentzian space. In particular, we obtain a Bernstein rigidity theorem for complete minimal submanifolds of arbitrary codimension in Euclidean space. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free