Buckley, Stephen M. and Kokkendorff, Simon L.
Warped products and conformal boundaries of CAT(0) spaces.
The Journal of Geometric Analysis, 18.
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.
||Length space; conformal boundary; ideal boundary; warped product; CAT(0)-space; fundamental group;
||Faculty of Science and Engineering > Mathematics and Statistics
Prof. Stephen Buckley
||07 Oct 2009 13:54
|Journal or Publication Title:
||The Journal of Geometric Analysis
||Springer New York
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