Volume 8 (2025)
Carvajales, León;  Lessa, Pablo;  Potrie, Rafael
Quasi-isometric free group representations into $\operatorname{SL}_3(\mathbb{R})$
Annales Henri Lebesgue, Volume 8 (2025), pp. 965-994

Metadata

DOI10.5802/ahl.252
Keywords Discrete subgroups of Lie groups ,  geometric group theory

Abstract

We study quasi-isometric representations of finitely generated non-abelian free groups into some higher rank semi-simple Lie groups which are not Anosov, nor approximated by Anosov. We show in some cases that these can be perturbed to be non-quasi-isometric, or to have some instability properties with respect to their action on the flag space.


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