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    Geometric characterizations of Gromov hyperbolicity


    Balogh, Zoltán M. and Buckley, Stephen M. (2003) Geometric characterizations of Gromov hyperbolicity. Inventiones Mathematicae, 153 (2). pp. 261-301. ISSN 1432-1297

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    Abstract

    We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring-Hayman property and a separation condition.

    Item Type: Article
    Keywords: Gromov hyperbolicity; Euclidean domains; Slices; Gehring-Hayman property; Separation condition.
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1599
    Identification Number: https://doi.org/10.1007/s00222-003-0287-6
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 20 Oct 2009 10:59
    Journal or Publication Title: Inventiones Mathematicae
    Publisher: Springer Berlin / Heidelberg
    Refereed: No
    URI:

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