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Chapitre D'ouvrage Année : 2018

Groups acting on spaces of non-positive curvature

Bruno Duchesne

Résumé

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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Dates et versions

hal-01288346 , version 1 (14-03-2016)
hal-01288346 , version 2 (25-08-2016)
hal-01288346 , version 3 (15-07-2020)

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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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