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Groups acting on spaces of non-positive curvature

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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  • HAL Id : hal-01288346, version 3
  • ARXIV : 1603.04573

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Bruno Duchesne. Groups acting on spaces of non-positive curvature. Handbook of Group Actions, Volume III, pp.103-143, 2018. ⟨hal-01288346v3⟩

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