Isometry groups of non‐positively curved spaces: structure theory
PE Caprace, N Monod - Journal of topology, 2009 - Wiley Online Library
PE Caprace, N Monod
Journal of topology, 2009•Wiley Online LibraryWe 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].
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].
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].
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