Three strongly hyperbolic metrics on ptolemy spaces
Metric Geometry
2018-03-06 v2
Abstract
Recently, strongly hyperbolic space as certain analytic enhancements of Gromov hyperbolic space was introduced by B. Nica and J. Spakula. In this note, we prove that the log-metric log(1+d) on a Ptolemy space (X,d) is a strongly hyperbolic metric. Using our result, we construct three metrics on a Ptolemy metric space and prove they are strongly hyperbolic.
Keywords
Cite
@article{arxiv.1802.08829,
title = {Three strongly hyperbolic metrics on ptolemy spaces},
author = {Yingqing Xiao and Zhanqi Zhang},
journal= {arXiv preprint arXiv:1802.08829},
year = {2018}
}