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A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics

A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics

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References (32)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-018-0233-7
Publisher site
See Article on Publisher Site

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.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Feb 7, 2018

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