Space-like surfaces with free boundary in the Lorentz-Minkowski space

被引：2

作者：

Lopez, R. ^{[1
]}

Pyo, J. ^{[2
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

[2] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

CLASSICAL AND QUANTUM GRAVITY | 2012年 / 29卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

CONSTANT MEAN-CURVATURE; HYPERSURFACES; FOLIATIONS; EXISTENCE;

D O I：

10.1088/0264-9381/29/3/035005

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate a variational problem in the Lorentz-Minkowski space L-3 whose critical points are space-like surfaces with a constant mean curvature and making a constant contact angle with a given support surface along its common boundary. We show that if the support surface is a pseudosphere, then the surface is a planar disc or a hyperbolic cap. We also study the problem of space-like hypersurfaces with free boundary in the higher dimensional Lorentz-Minkowski space Ln+1.

引用

页数：10

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