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

Ursula Hamenstädt

doi:10.4171/ggd/861

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

Ursula Hamenstädt
Universität Bonn, Bonn, Germany

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

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Abstract

We show that a discrete group $Γ$ 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 $H^{1} (Γ, V) \neq = 0$ .

Cite this article

Ursula Hamenstädt, $L^{p}$ -cohomology for groups of isometries of Hadamard spaces. Groups Geom. Dyn. (2025), published online first

DOI 10.4171/GGD/861