Quasisymmetric structures on surfaces
Metric Geometry
2007-09-07 v1 Complex Variables
Abstract
We show that a locally Ahlfors 2-regular and locally linearly locally contractible metric surface is locally quasisymmetrically equivalent to the disk. We also discuss an application of this result to the problem of characterizing surfaces in some Euclidean space that are locally bi-Lipschitz equivalent to an open subset of the plane.
Keywords
Cite
@article{arxiv.0709.0795,
title = {Quasisymmetric structures on surfaces},
author = {Kevin Wildrick},
journal= {arXiv preprint arXiv:0709.0795},
year = {2007}
}
Comments
34 pages, 7 figures