NON-SIMPLY CONNECTED MINIMAL PLANAR DOMAINS

被引：0

作者：

Martin, Francisco ^{[1
]}

Magdalena Rodriguez, M. ^{[1
]}

机构：

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 12期

关键词：

DIRICHLET PROBLEM; SURFACES; IMMERSIONS; EQUATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any non-simply connected planar domain can be properly and minimally embedded in H-2 x R. The examples that we produce are vertical bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin graph.

引用

页码：6167 / 6183

页数：17

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