Uniqueness of entire graphs in warped products

被引：13

作者：

Alias, Luis J. ^{[1
]}

Gervasio Colares, A. ^{[2
]}

de Lima, Henrique F. ^{[3
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

[3] Univ Fed Campine Grande, Dept Matemat, BR-58429970 Campine Grande, Paraiba, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 430卷 / 01期

关键词：

Warped products; Entire graphs; Higher order mean curvatures; Height function; Minimal graphs; Radial graphs; CONSTANT MEAN-CURVATURE; COMPLETE VERTICAL GRAPHS; SPACELIKE HYPERSURFACES;

D O I：

10.1016/j.jmaa.2015.04.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under suitable restrictions on the higher order mean curvatures, we establish uniqueness results for entire graphs in a warped product space satisfying a standard convergence condition. Consequences are given for such graphs to be slices by using comparison inequalities of their higher order mean curvatures. Applications to the study of the rigidity of minimal and radial graphs in the Euclidean space are also given. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：60 / 75

页数：16

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