2016/10/27 by Lukas Geyer, Kevin Wildrick
Mathematics · #math.MG #math.CV #msc:30C65
paper · pdf · doi:10.1090/proc/13722
published as Proc. Amer. Math. Soc. 146 (2018), no. 1, 281-293 · Comments welcome
arxiv created 2016/10/27 · arxiv updated 2019/11/05
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.