Non-positive curvature and the Ptolemy inequality

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dc.creatorFoertsch, Thomas
dc.creatorLytchak, Alexander
dc.creatorSchroeder, Viktor
dc.date2007-05-08
dc.date.accessioned2026-07-07T07:59:59Z
dc.date.available2026-07-07T07:59:59Z
dc.descriptionWe provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric spaces are uniquely geodesic. Moreover, we prove that a metric space is CAT(0) if and only if it is Busemann convex and Ptolemy.
dc.description11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0705.1042
dc.identifierhttp://arxiv.org/abs/0705.1042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128574
dc.subjectMetric Geometry
dc.subject53C20
dc.titleNon-positive curvature and the Ptolemy inequality
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