A Gromov hyperbolic metric vs the hyperbolic and other related metrics

2017/05/24 by Mohapatra, Manas Ranjan, Sahoo, Swadesh Kumar
#30F45 #51M05 #51M10 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1705.08574

Abstract

We mainly consider two metrics: a Gromov hyperbolic metric and a scale invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-known hyperbolic-type metrics, leading to several inclusion relations between the associated metric balls.

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