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.
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Communicated by Peter Li.
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Buckley, S.M., Kokkendorff, S.L. Warped Products and Conformal Boundaries of CAT(0)-Spaces. J Geom Anal 18, 704–719 (2008). https://doi.org/10.1007/s12220-008-9027-x
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DOI: https://doi.org/10.1007/s12220-008-9027-x