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arXiv · 0809.0457

Isometry groups of non-positively curved spaces: structure theory

P. -E. Caprace·N. Monod
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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".

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BibTeXRIS

P. -E. Caprace, N. Monod. 2009-01-08. Isometry groups of non-positively curved spaces: structure theory. https://doi.org/10.1112/jtopol%2Fjtp026

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