Rigidity for Quasi-Mobius group actions
度量几何
2007-05-23 v2 群论
摘要
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.
引用
@article{arxiv.math/0006137,
title = {Rigidity for Quasi-Mobius group actions},
author = {Mario Bonk and Bruce Kleiner},
journal= {arXiv preprint arXiv:math/0006137},
year = {2007}
}