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arXiv · 1802.08829

Three strongly hyperbolic metrics on ptolemy spaces

Yingqing Xiao·Zhanqi Zhang
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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.

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Yingqing Xiao, Zhanqi Zhang. 2018-03-04. Three strongly hyperbolic metrics on ptolemy spaces. https://arxiv.org/abs/1802.08829

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