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Compactification of certain Clifford-Klein forms of reductive homogeneous spaces by Guéritaud, François; Guichard, Olivier; Kassel, Fanny; Wienhard, Anna is a scholarly article available to read on EtoBox.

What is Compactification of certain Clifford-Klein forms of reductive homogeneous spaces about?

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.

Author

Guéritaud, François; Guichard, Olivier; Kassel, Fanny; Wienhard, Anna

Published

2015

Language

EN