Isometry groups of non‐positively curved spaces: structure theory
By P. Caprace, Nicolas Monod. 2008
85 citations recorded by the source corpus.
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 characterizing properties of symmetric spaces and Bruhat–Tits buildings. Applications to discrete groups and further developments on non‐positively curved lattices are discussed in a companion paper [27].
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d726f5bfd21d6e530dea70e2490f7abf901ae0db
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In Geometry and Topology
- K. Fujiwara
- P. Caprace
- Denis V. Osin
- Alessandro Sisto
- M. Bestvina
- Mark F. Hagen
- Anthony Genevois
- Daan Krammer
In Mathematical Physics
- K. Fujiwara
- P. Caprace
- Denis V. Osin
- Alessandro Sisto
- Mark F. Hagen
- M. Bestvina
- Anthony Genevois
- Vincent Guirardel
Citations in the corpus
- Rank-One Isometries of Buildings and Quasi-Morphisms of Kac–Moody Groups (2008, methodology): “Thus X possesses a nonempty minimal G-invariant closed convex subset Y ⊆ X (see [ CaM , Prop.”