We describe smooth compactifications of certain families of reductive homogeneous spaces such as group manifolds for classical Lie groups, or pseudo-Riemannian analogues of real hyperbolic spaces and their complex and quaternionic counterparts. We deduce compactifications of Clifford-Klein forms of these homogeneous spaces, namely quotients by discrete groups Gamma acting properly discontinuously, in the case that Gamma is word hyperbolic and acts via an Anosov representation. In particular, these Clifford-Klein forms are topologically tame.
SEEK ID: https://publications.h-its.org/publications/969
Research Groups: Groups and Geometry
Publication type: Misc
Journal: arXiv,math.GT,1506.03742
Citation: arXiv,math.GT,1506.03742
Date Published: 2015
URL: https://arxiv.org/abs/1506.03742
Registered Mode: imported from a bibtex file
Views: 5996
Created: 30th Jan 2020 at 09:49
Last updated: 5th Mar 2024 at 21:24
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