Abstract
If a group acts by uniformly quasi-Möbius homeomorphisms on a compact Ahlfors n-regular space of topological dimension n such that the induced action on the space of distinct triples is cocompact, then the action is quasisymmetrically conjugate to an action on the standard n-sphere by Möbius transformations.
Citation
Mario Bonk. Bruce Kleiner. "Rigidity for Quasi-Möbius Group Actions." J. Differential Geom. 61 (1) 81 - 106, May, 2002. https://doi.org/10.4310/jdg/1090351321
Information
