arXiv:math/0208135 Abstract

arXiv:math/0208135 [math.GR]Abstract References Reviews Resources

Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

Published 2002-08-19, updated 2005-02-15Version 3

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.

Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper7.abs.html

Journal: Geom. Topol. 9(2005) 219-246

Categories: math.GR, math.GT, math.MG

Subjects: 20F67, 30C65

Keywords: gromov hyperbolic group, ahlfors regular conformal dimension, ahlfors q-regular metric, quasisymmetrically homeomorphic

Tags: journal article

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