Warped products and conformal boundaries of CAT(0) spaces

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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
Related URLs:	Publisher
URI:	https://mural.maynoothuniversity.ie/id/eprint/1572
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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Warped products and conformal boundaries of CAT(0) spaces

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