Rigidity for Quasi-Mobius group actions

Details Rigidity for Quasi-Mobius group actions Rigidity for Quasi-Mobius group actions

2000-06-19

arxiv.org/abs/math/0006137v2

Mathematics

Metric Geometry

Scientific paper

Suppose G is a hyperbolic group whose boundary has topological dimension k.
If the boundary is quasisymmetrically homeomorphic to an Ahlfors k-regular
metric space, then, modulo a finite normal subgroup, G is isomorphic to a
uniform lattice in the isometry group of hyperbolic (k+1)-space.

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