Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

@article{Bonk2005ConformalDA,
  title={Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary},
  author={M. Bonk and B. Kleiner},
  journal={Geometry \& Topology},
  year={2005},
  volume={9},
  pages={219-246}
}
Suppose G is a Gromov hyperbolic group, and @1G 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 H 3 . 

Figures from this paper

Hyperbolic groups with planar boundaries
Conformal dimension and canonical splittings of hyperbolic groups
Conformal dimension on boundary of right-angled hyperbolic buildings
Quasisymmetric parametrizations of two-dimensional metric planes
Hyperbolic and quasisymmetric structure of hyperspaces
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 40 REFERENCES
Rigidity for Quasi-Möbius Group Actions
Quasisymmetric parametrizations of two-dimensional metric spheres
Volume entropy of hyperbolic graph surfaces
  • S. Buyalo
  • Mathematics
  • Ergodic Theory and Dynamical Systems
  • 2005
Conformal assouad dimension and modulus
...
1
2
3
4
...