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Quasi-isometries of groups, graphs and surfaces

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Commentarii Mathematici Helvetici

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.

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Authors and Affiliations

  1. Laboratoire Mathématiques Émile Picard, Université Paul Sabatier, 118, route de Narbonne, F-31062 Toulouse Cédex 4, France, e-mail: maillot@borel.ups-tlse.fr, France

    S. Maillot

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  1. S. Maillot
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Received: January 18, 2000

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Maillot, S. Quasi-isometries of groups, graphs and surfaces. Comment. Math. Helv. 76, 29–60 (2001). https://doi.org/10.1007/s000140050149

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  • DOI: https://doi.org/10.1007/s000140050149

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