JournalscmhVol. 76 , No. 1DOI 10.1007/s000140050149

Quasi-isometries of groups, graphs and surfaces

  • Sylvain Maillot

    Université Montpellier II, France
Quasi-isometries of groups, graphs and surfaces cover

Abstract

We give a characterization of virtual surface groups as groups quasi-isometric to complete simply-connected Riemannian surfaces. Results on the equivalence up to quasi-isometry of various bounded geometry conditions for Riemannian surfaces are also obtained.