Hyperbolicity, CAT(-1)-spaces and the Ptolemy Inequality

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Using a four points inequality for the boundary of CAT(-1)-spaces, we study the relation between Gromov hyperbolic spaces and CAT(-1)-spaces.
This updated version includes some further observations concerning the Ptolemy inequality. Some proofs have been improved and several typos have been corrected

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Metric Geometry, 53C20

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http://salesiana.dossiersoluciones.com/handle/123456789/112807

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605418
 http://arxiv.org/abs/math/0605418

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arXiv