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