Hyperbolicity, CAT(-1)-spaces and the Ptolemy Inequality
Metric Geometry
2007-05-23 v2
Abstract
Using a four points inequality for the boundary of CAT(-1)-spaces, we study the relation between Gromov hyperbolic spaces and CAT(-1)-spaces.
Cite
@article{arxiv.math/0605418,
title = {Hyperbolicity, CAT(-1)-spaces and the Ptolemy Inequality},
author = {Thomas Foertsch and Viktor Schroeder},
journal= {arXiv preprint arXiv:math/0605418},
year = {2007}
}
Comments
This updated version includes some further observations concerning the Ptolemy inequality. Some proofs have been improved and several typos have been corrected