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math.CV2020
A Gromov Hyperbolic metric and Möbius transformations
Xiaoxue Xu, Gendi Wang, Xiaohui Zhang
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…
math.CV2019
Remarks on the scale invariant Cassinian metric
Gendi Wang, Xiaoxue Xu, Matti Vuorinen
We study the geometry of the scale invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case when the domain is e…