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    Warped products and conformal boundaries of CAT(0) spaces


    Buckley, Stephen M. and Kokkendorff, Simon L. (2008) Warped products and conformal boundaries of CAT(0) spaces. The Journal of Geometric Analysis, 18. pp. 704-719. ISSN 1050-6926

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    Abstract

    We discuss the conformal boundary of a warped product of two length spaces and provide a method to calculate this in terms of the individual conformal boundaries. This technique is then applied to produce CAT(0)-spaces with complicated conformal boundaries. Finally we prove that the conformal boundary of an Hadamard n-manifold is always simply connected for n ¸ 3, thus providing a bound for the level of complication of the boundary of such a manifold.

    Item Type: Article
    Keywords: Length space; conformal boundary; ideal boundary; warped product; CAT(0)-space; fundamental group;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1572
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 07 Oct 2009 13:54
    Journal or Publication Title: The Journal of Geometric Analysis
    Publisher: Springer New York
    Refereed: Yes
    URI:

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