A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups
Group Theory
2024-03-07 v2 Complex Variables
Abstract
In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space of distinct pairs is cocompact. Following the approach of Eskin-Fisher-Whyte these results have applications to quasi-isometric rigidity of certain solvable groups.
Keywords
Cite
@article{arxiv.2304.12498,
title = {A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups},
author = {Tullia Dymarz and David Fisher and Xiangdong Xie},
journal= {arXiv preprint arXiv:2304.12498},
year = {2024}
}
Comments
60 pages