English

Groups quasi-isometric to symmetric spaces

dg-ga 2008-02-03 v1 Differential Geometry

Abstract

We determine the structure of finitely generated groups which are quasi-isometric to symmetric spaces of noncompact type, allowing Euclidean de Rham factors If XX is a symmetric space of noncompact type with no Euclidean de Rham factor, and \Ga\Ga is a finitely generated group quasi-isometric to the product \Ek×X\E^k\times X, then there is an exact sequence 1\raH\ra\Ga\raL\ra11\ra H\ra\Ga\ra L\ra 1 where HH contains a finite index copy of Zk\Z^k and LL is a uniform lattice in the isometry group of XX.

Keywords

Cite

@article{arxiv.dg-ga/9610003,
  title  = {Groups quasi-isometric to symmetric spaces},
  author = {Bruce Kleiner and Bernhard Leeb},
  journal= {arXiv preprint arXiv:dg-ga/9610003},
  year   = {2008}
}

Comments

10 pages, Latex