English

Groups quasi-isometric to H^2 x R

Geometric Topology 2007-05-23 v2

Abstract

This paper is a more succinct version of the author's 1993 UCLA mathematics thesis. It proves that any group quasi-isometric to the product of the hyperbolic plane with the real line is a finite extension of a cocompact lattice in either the isometry group of the product of the hyperbolic plane with the real line or the isometry group of the universal cover of SL(2,R).

Keywords

Cite

@article{arxiv.math/0005252,
  title  = {Groups quasi-isometric to H^2 x R},
  author = {Eleanor G. Rieffel},
  journal= {arXiv preprint arXiv:math/0005252},
  year   = {2007}
}

Comments

Journal of the London Math Society, to appear. Minor revisions and updated references. 19 pages

R2 v1 2026-07-22T16:32:54.602Z