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arXiv · 1610.08896

Quantitative quasisymmetric uniformization of compact surfaces

Lukas Geyer·Kevin Wildrick
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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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Lukas Geyer, Kevin Wildrick. 2016-10-27. Quantitative quasisymmetric uniformization of compact surfaces. https://doi.org/10.1090/proc%2F13722

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