Publication

Isometry groups of non-positively curved spaces: Discrete subgroups

Nicolas Monod
2009
Journal Articles

Abstract

We study lattices in non-positively curved metric spaces. Borel density is established in that setting as well as a form of Mostow rigidity. A converse to the flat torus theorem is provided. Geometric arithmeticity results are obtained after a detour through superrigidity and arithmeticity of abstract lattices. Residual finiteness of lattices is also studied. Riemannian symmetric spaces are characterised amongst CAT(0) spaces admitting lattices in terms of the existence of parabolic isometries.

Official source

https://infoscience.epfl.ch/entities/publication/269e6dd9-bfa4-4eef-87db-a3cae060631c

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Isometry groups of non-positively curved spaces: Discrete subgroups

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