BERNSTEIN-TYPE THEOREMS IN SEMI-RIEMANNIAN WARPED PRODUCTS

被引：28
|
作者：
Camargo, F. [1 ]
Caminha, A. [2 ]
de Lima, H. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58109970 Campina Grande, Paraiba, Brazil
[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 05期
关键词：
Semi-Riemannian manifolds; Lorentz geometry; hyperbolic space; steady state space; spacelike hypersurfaces; mean curvature; Bernstein-type theorems; CONSTANT MEAN-CURVATURE; SPACELIKE HYPERSURFACES; UNIQUENESS;
D O I：
10.1090/S0002-9939-2010-10597-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with complete hypersurfaces immersed in the (n + 1)-dimensional hyperbolic and steady state spaces. By applying a technique of S. T. Yau and imposing suitable conditions on both the r-th mean curvatures and on the norm of the gradient of the height function, we obtain Bernstein-type results in each of these ambient spaces.
引用
收藏
页码：1841 / 1850
页数：10
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