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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;
Subjects: Science & Engineering > Mathematics
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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