English

Quasi-isometric free group representations into SL_3(R)

Group Theory 2024-11-07 v1 Dynamical Systems Geometric Topology

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.

Keywords

Cite

@article{arxiv.2411.03509,
  title  = {Quasi-isometric free group representations into SL_3(R)},
  author = {León Carvajales and Pablo Lessa and Rafael Potrie},
  journal= {arXiv preprint arXiv:2411.03509},
  year   = {2024}
}

Comments

26 pages, 1 figure