Isometry groups of non-positively curved spaces: structure theory
Group Theory
2010-01-18 v2 Geometric Topology
Metric Geometry
Abstract
We develop the structure theory of full isometry groups of locally compact non-positively curved metric spaces. Amongst the discussed themes are de Rham decompositions, normal subgroup structure and characterising properties of symmetric spaces and Bruhat--Tits buildings. Applications to discrete groups and further developments on non-positively curved lattices are exposed in a companion paper: "Isometry groups of non-positively curved spaces: discrete subgroups".
Keywords
Cite
@article{arxiv.0809.0457,
title = {Isometry groups of non-positively curved spaces: structure theory},
author = {P. -E. Caprace and N. Monod},
journal= {arXiv preprint arXiv:0809.0457},
year = {2010}
}
Comments
The original version (September 2, 2008) has been split into two articles. This is the first part; the second is available as of today on the arxiv under the title: "Isometry groups of non-positively curved spaces: discrete subgroups"