English

Bi-Lipschitz rigidity of discrete subgroups

Group Theory 2024-05-14 v2 Dynamical Systems Geometric Topology

Abstract

We obtain a bi-Lipschitz rigidity theorem for a Zariski dense discrete subgroup of a connected simple real algebraic group. As an application, we show that any Zariski dense discrete subgroup of a higher rank semisimple algebraic group GG cannot have a C1C^1-smooth slim limit set in G/PG/P for any non-maximal parabolic subgroup PP.

Keywords

Cite

@article{arxiv.2405.00249,
  title  = {Bi-Lipschitz rigidity of discrete subgroups},
  author = {Richard Canary and Hee Oh and Andrew Zimmer},
  journal= {arXiv preprint arXiv:2405.00249},
  year   = {2024}
}
R2 v1 2026-06-28T16:12:21.104Z