English

Groups acting on spaces of non-positive curvature

Differential Geometry 2021-04-21 v2 Group Theory

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.

Keywords

Cite

@article{arxiv.1603.04573,
  title  = {Groups acting on spaces of non-positive curvature},
  author = {Bruno Duchesne},
  journal= {arXiv preprint arXiv:1603.04573},
  year   = {2021}
}

Comments

Written for the handbook of group actions