Constant mean curvature graphs in a class of warped product spaces

被引：9

作者：

Alias, Luis J. ^{[1
]}

Dajczer, Marcos ^{[2
]}

机构：

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

[2] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

GEOMETRIAE DEDICATA | 2008年 / 131卷 / 01期

关键词：

mean curvature; warped product spaces; Dirichlet problem;

D O I：

10.1007/s10711-007-9225-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new existence result for compact normal geodesic graphs with constant mean curvature and boundary in a class of warped product spaces. In particular, our result includes that of normal geodesic graphs with constant mean curvature in hyperbolic space Hn+1 over a bounded domain in a totally geodesic H-n subset of Hn+1. .

引用

页码：173 / 179

页数：7

共 9 条

[1] Constant mean curvature hypersurfaces in warped product spaces [J].