Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

Details Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

2002-08-19

arxiv.org/abs/math/0208135v3

Geom. Topol. 9(2005) 219-246

Mathematics

Group Theory

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

Scientific paper

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.

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