Journal article
Warped products and conformal boundaries of CAT(0)-Spaces
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 |
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Publisher: | Springer-Verlag |
Year: | 2008 |
Pages: | 704-719 |
ISSN: | 1559002x and 10506926 |
Types: | Journal article |
DOI: | 10.1007/s12220-008-9027-x |