Isometry groups of non-positively curved spaces: structure theory

Autor:	Caprace, P. -E., Monod, N.
Rok vydání:	2008
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology Mathematics - Metric Geometry
Zdroj:	See final version in: Journal of Topology 2 No. 4 (2009) 661--700
Druh dokumentu:	Working Paper
DOI:	10.1112/jtopol/jtp026
Popis:	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". 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"
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0809.0457 Zobrazit plný text záznamu View this record from Arxiv