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Journal article

Warped products and conformal boundaries of CAT(0)-Spaces

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Department of Mathematics, Technical University of Denmark1

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.

Language: English
Publisher: Springer-Verlag
Year: 2008
Pages: 704-719
ISSN: 1559002x and 10506926
Types: Journal article
DOI: 10.1007/s12220-008-9027-x

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