Least Area Planes in Hyperbolic 3-space Are Properly Embedded

被引：5

作者：

Coskunuzer, Baris ^{[1
]}

机构：

[1] Koe Univ, Dept Math, TR-34450 Istanbul, Turkey

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2009年 / 58卷 / 01期

关键词：

asymptotic plateau problem; properly embedded; least area plane; SPACE; HYPERSURFACES; MANIFOLDS; REGULARITY; EXISTENCE; SURFACES; TOPOLOGY;

D O I：

10.1512/iumj.2009.58.3447

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if Sigma is an embedded least area (area minimizing) plane in H(3) whose asymptotic boundary is a simple closed curve with at least one smooth point, then Sigma is properly embedded in H(3).

引用

页码：381 / 392

页数：12

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