JournalscmhVol. 76, No. 1pp. 29–60

Quasi-isometries of groups, graphs and surfaces

  • Sylvain Maillot

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

Cite this article

Sylvain Maillot, Quasi-isometries of groups, graphs and surfaces. Comment. Math. Helv. 76 (2001), no. 1, pp. 29–60

DOI 10.1007/S000140050149