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


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.


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