Plateau’s Problem and Riemann’s Mapping Theorem

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 Rieman...

Full description

Saved in:
Bibliographic Details
Published in:Milan journal of mathematics 2011-06, Vol.79 (1), p.67-79
Main Author: Hildebrandt, Stefan
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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).
ISSN:1424-9286
1424-9294
DOI:10.1007/s00032-011-0142-y