Comparison Between a Gromov Hyperbolic Metric and the Hyperbolic Metric
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DOI: 10.1007/s40315-018-0247-1
Abstract: In this note, we compare a Gromov hyperbolic metric and the hyperbolic metric of the unit ball and obtain sharp inequalities between these two metrics, thus resolving a conjecture of Mohapatra and Sahoo. We also… read more here.
Keywords: metric hyperbolic; comparison gromov; gromov hyperbolic; hyperbolic metric ... See more keywords
MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC
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DOI: 10.1017/s0004972717000570
Abstract: We consider a scale invariant Cassinian metric and a Gromov hyperbolic metric. We discuss a distortion property of the scale invariant Cassinian metric under Möbius maps of a punctured ball onto another punctured ball. We… read more here.
Keywords: cassinian metric; scale invariant; metric gromov; invariant cassinian ... See more keywords
Hyperbolic Metric and Multiply Connected Wandering Domains of Meromorphic Functions
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DOI: 10.1017/s0013091516000377
Abstract: Abstract In this paper, in terms of the hyperbolic metric, we give a condition under which the image of a hyperbolic domain of an analytic function contains a round annulus centred at the origin. From… read more here.
Keywords: connected wandering; meromorphic functions; wandering domains; multiply connected ... See more keywords