A Gromov Hyperbolic metric and M\"obius transformations
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Publication:6342277
arXiv2006.04087MaRDI QIDQ6342277
Gendi Wang, Xiaohui Zhang, Xiaoxue Xu
Publication date: 7 June 2020
Abstract: We compare a Gromov hyperbolic metric with the hyperbolic metric in the unit ball or in the upper half space, and prove sharp comparison inequalities between the Gromov hyperbolic metric and some hyperbolic type metrics. We also obtain several sharp distortion inequalities for the Gromov hyperbolic metric under some families of M"{o}bius transformations.
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