BERNSTEIN-TYPE THEOREMS IN SEMI-RIEMANNIAN WARPED PRODUCTS

被引：29

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

页码：1841 / 1850

页数：10

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