Quantitative quasisymmetric uniformization of compact surfaces
arXiv:1610.08896 · doi:10.1090/proc/13722
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.
Comments welcome