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arXiv · 2411.03509

Quasi-isometric free group representations into SL_3(R)

León Carvajales·Pablo Lessa·Rafael Potrie
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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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León Carvajales, Pablo Lessa, Rafael Potrie. 2024-11-05. Quasi-isometric free group representations into SL_3(R). https://arxiv.org/abs/2411.03509

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