Isometry Groups of Proper Hyperbolic Spaces

@article{Hamenstdt2005IsometryGO,
  title={Isometry Groups of Proper Hyperbolic Spaces},
  author={Ursula Hamenst{\"a}dt},
  journal={Geometric and Functional Analysis},
  year={2005},
  volume={19},
  pages={170-205}
}
  • U. Hamenstädt
  • Published 29 July 2005
  • Mathematics
  • Geometric and Functional Analysis
Abstract.Let X be a proper hyperbolic geodesic metric space and let G be a closed subgroup of the isometry group Iso(X) of X. We show that if G is not elementary then for every p ∈ (1, ∞) the second continuous bounded cohomology group H2cb(G, Lp(G)) does not vanish. As an application, we derive some structure results for closed subgroups of Iso(X). 
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