$L^p$-cohomology for groups of isometries of Hadamard spaces

Ursula Hamenstädt

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arXiv · 2311.01396

$L^p$-cohomology for groups of isometries of Hadamard spaces

Ursula Hamenstädt

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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 $H^1(\Gamma,V)\not=0$.

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BibTeX RIS

Ursula Hamenstädt. 2023-11-02. $L^p$-cohomology for groups of isometries of Hadamard spaces. https://arxiv.org/abs/2311.01396

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