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

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

2006-05-16

arxiv.org/abs/math/0605418v2

Mathematics

Metric Geometry

This updated version includes some further observations concerning the Ptolemy inequality. Some proofs have been improved and

Scientific paper

Using a four points inequality for the boundary of CAT(-1)-spaces, we study
the relation between Gromov hyperbolic spaces and CAT(-1)-spaces.

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