Quasiisometric coHopficity of nonuniform lattices in rankone semisimple Lie groups
Abstract
We prove that if $G$ is a nonuniform lattice in a rankone semisimple Lie group $\ne Isom(\H^2_\R)$ then $G$ is quasiisometrically coHopf. This means that every quasiisometric embedding $G\to G$ is coarsely onto and thus is a quasiisometry.
 Publication:

arXiv eprints
 Pub Date:
 April 2012
 arXiv:
 arXiv:1204.4193
 Bibcode:
 2012arXiv1204.4193K
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Group Theory;
 20F65
 EPrint:
 13 pages, 2 figures