Quantitative quasisymmetric uniformization of compact surfaces
Metric Geometry
2019-11-05 v1 Complex Variables
Abstract
Bonk and Kleiner showed that any metric sphere which is Ahlfors 2-regular and linearly locally contractible is quasisymmetrically equivalent to the standard sphere, in a quantitative way. We extend this result to arbitrary metric compact orientable surfaces.
Cite
@article{arxiv.1610.08896,
title = {Quantitative quasisymmetric uniformization of compact surfaces},
author = {Lukas Geyer and Kevin Wildrick},
journal= {arXiv preprint arXiv:1610.08896},
year = {2019}
}
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