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

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 $H^1(\Gamma ,V)\ne 0$.

arXiv comment26 pages, main result slightly strengthened, minor edits. Final version