Quasisymmetric parameterizations of two-dimensional metric planes
Metric Geometry
2014-02-26 v1 Complex Variables
Abstract
The classical uniformization theorem states that any simply connected Riemann surface is conformally equivalent to the disk, the plane, or the sphere, each equipped with a standard conformal structure. We give a similar uniformization for Ahlfors 2-regular, linearly locally connected metric planes; instead of conformal equivalence, we are concerned with quasisymmetric equivalence.
Cite
@article{arxiv.math/0610863,
title = {Quasisymmetric parameterizations of two-dimensional metric planes},
author = {Kevin Wildrick},
journal= {arXiv preprint arXiv:math/0610863},
year = {2014}
}
Comments
28 pages