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Isometry groups of non-positively curved spaces: structure theory
- Source :
- See final version in: Journal of Topology 2 No. 4 (2009) 661--700
- Publication Year :
- 2008
-
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".<br />Comment: 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"
Details
- Database :
- arXiv
- Journal :
- See final version in: Journal of Topology 2 No. 4 (2009) 661--700
- Publication Type :
- Report
- Accession number :
- edsarx.0809.0457
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1112/jtopol/jtp026