A Bernstein type theorem in ℝ × ℍn

被引：0
|
作者：
Henrique F. de Lima
Ulisses L. Parente
机构：
[1] Universidade Federal de Campina Grande,Departamento de Matemática e Estatística
[2] Universidade Estadual do Ceará,Faculdade de Educação, Ciências e Letras do Sertão Central
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2012年 / 43卷
关键词：
Riemannian product space; complete hypersurface; mean curvature; vertical graph; Primary: 53C42; Secondary: 53B30, 53C50;
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摘要：
In this paper, as suitable application of the so-called Omori-Yau generalized maximum principle, we obtain a Bernstein type theorem concerning to complete hypersurfaces immersed with constant mean curvature in the product space ℝ × ℍn. Furthermore, we treat the case that such hypersurfaces are vertical graphs.
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页码：17 / 26
页数：9
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