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$L^{p}$-cohomology for groups of isometries of Hadamard spaces
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$L^{p}$-cohomology for groups of isometries of Hadamard spaces
$L^{p}$-cohomology for groups of isometries of Hadamard spaces
Author:
UH
Ursula Hamenstädt
Ursula Hamenstädt
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19 February 2025
journal article
Published by
European Mathematical Society - EMS - Publishing House GmbH
in
Groups, Geometry, and Dynamics
DOI:
10.4171/ggd/861
Abstract
We show that a discrete group \Gamma which admits a non-elementary isometric action on a Hadamard manifold of bounded negative curvature admits an isometric action on an L^{p} -space V for some p>1 with H^{1}(\Gamma,V)\not=0 .
Keywords
ISOMETRIC ACTION
HADAMARD MANIFOLD
HADAMARD SPACES
BOUNDED NEGATIVE
NEGATIVE CURVATURE
NON-ELEMENTARY ISOMETRIC
DISCRETE GROUP
CURVATURE ADMITS
HADAMARD
GAMMA
All Related Versions
Version 1, 2023-11-02, ArXiv (Unconfirmed version)
Version 2, 2024-10-26, ArXiv (Unconfirmed version)
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