Some properties of non-positively curved lattices
Group Theory
2012-07-10 v1 Geometric Topology
Metric Geometry
Abstract
We announce results on the structure of CAT(0) groups, CAT(0) lattices and of the underlying spaces. Our statements rely notably on a general study of the full isometry groups of proper CAT(0) spaces. Classical statements about Hadamard manifolds are established for singular spaces; new arithmeticity and rigidity statements are obtained.
Keywords
Cite
@article{arxiv.0806.0156,
title = {Some properties of non-positively curved lattices},
author = {Pierre-Emmanuel Caprace and Nicolas Monod},
journal= {arXiv preprint arXiv:0806.0156},
year = {2012}
}
Comments
6 pages