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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