Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary
Group Theory
2014-11-11 v3 Geometric Topology
Metric Geometry
Abstract
Suppose G is a Gromov hyperbolic group, and the boundary at infinity of G is quasisymmetrically homeomorphic to an Ahlfors Q-regular metric 2-sphere Z with Ahlfors regular conformal dimension Q. Then G acts discretely, cocompactly, and isometrically on hyperbolic 3-space.
Cite
@article{arxiv.math/0208135,
title = {Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary},
author = {Mario Bonk and Bruce Kleiner},
journal= {arXiv preprint arXiv:math/0208135},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper7.abs.html