Quantitative quasisymmetric uniformization of compact surfaces

Geyer, Lukas; Wildrick, Kevin

doi:10.1090/proc/13722

Quantitative quasisymmetric uniformization of compact surfaces
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by Lukas Geyer and Kevin Wildrick PDF

Proc. Amer. Math. Soc. 146 (2018), 281-293 Request permission

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.

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