Coarse differentiation of quasi-isometries II: Rigidity for Sol and lamplighter groups

Pages 869-910 from Volume 177 (2013), Issue 3 by Alex Eskin, David Fisher, Kevin Whyte

Abstract

In this paper we prove quasi-isometric rigidity results concerning lattices in Sol and lamplighter groups. The paper builds in a substantial way on our earlier paper Coarse differentiation of quasi-isometries I: spaces not quasi-isometric to Cayley graphs.

Keywords
,
DOI
https://doi.org/10.4007/annals.2013.177.3.2
MR
3034290
zbMATH
06176984
Milestones
Received: 21 July 2007
Revised: 21 June 2012
Accepted: 17 August 2012
Published online: 1 May 2013

Authors

Alex Eskin

Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL 60637-1514

David Fisher

Department of Mathematics, Indiana University - Bloomington, Bloomington, IN 47401

Kevin Whyte

Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607-7045