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
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.
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