Plateau's Problem and Riemann's Mapping Theorem

被引：1

作者：

Hildebrandt, Stefan ^{[1
]}

机构：

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

MILAN JOURNAL OF MATHEMATICS | 2011年 / 79卷 / 01期

关键词：

Minimal surfaces; area; Dirichlet integral; Plateau's problem; mapping theorems of Riemann and Koebe; CONFORMAL-MAPPINGS;

D O I：

10.1007/s00032-011-0142-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First the connection between conformal mappings and Plateau's problem is pointed out. Then the relation between minimizers of area and energy under Plateau boundary conditions is discussed (joint work with F. Sauvigny). Finally, generalizations of the mapping theorems of Riemann and Koebe for Riemannian metrics are presented (joint work with H. von der Mosel).

引用

页码：67 / 79

页数：13

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