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Groups acting on spaces of non-positive curvature

Published 15 Mar 2016 in math.DG and math.GR | (1603.04573v2)

Abstract: In this survey article, we present some panorama of groups acting on metric spaces of non-positive curvature. We introduce the main examples and their rigidity properties , we show the links between algebraic or analytic properties of the group and geometric properties of the space. Finally, we conclude with a few conjectures in the subject.

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