Large scale geometry of certain solvable groups
Group Theory
2009-12-18 v2 Metric Geometry
Abstract
In this paper we provide the final steps in the proof, announced by Eskin-Fisher-Whyte, of quasi-isometric rigidity of a class of non-nilpotent polycyclic groups. To this end, we prove a rigidity theorem on the boundaries of certain negatively curved homogeneous spaces and combine it with work of Eskin-Fisher-Whyte and Peng on the structure of quasi-isometries of certain solvable Lie groups.
Keywords
Cite
@article{arxiv.0712.2214,
title = {Large scale geometry of certain solvable groups},
author = {Tullia Dymarz},
journal= {arXiv preprint arXiv:0712.2214},
year = {2009}
}
Comments
50 pages