Gromov hyperbolicity and quasihyperbolic geodesics
Copyright policy )Gromov hyperbolicity and quasihyperbolic geodesics
We characterize Gromov hyperbolicity of the quasihyperbolic metric space (��,k) by geometric properties of the Ahlfors regular length metric measure space (��,d,��). The characterizing properties are called the Gehring--Hayman condition and the ball--separation condition.
17 pages
quasihyperbolic metric, Mathematics - Complex Variables, Ecology and Evolutionary Biology, ta111, School of Resource Wisdom, Gehring-Hayman inequality, Metric Geometry (math.MG), Resurssiviisausyhteisö, Gromov hyperbolicity, Mathematics - Metric Geometry, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Quasiconformal mappings in metric spaces, FOS: Mathematics, Complex Variables (math.CV), Ekologia ja evoluutiobiologia, 30C65 (Primary)
quasihyperbolic metric, Mathematics - Complex Variables, Ecology and Evolutionary Biology, ta111, School of Resource Wisdom, Gehring-Hayman inequality, Metric Geometry (math.MG), Resurssiviisausyhteisö, Gromov hyperbolicity, Mathematics - Metric Geometry, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Quasiconformal mappings in metric spaces, FOS: Mathematics, Complex Variables (math.CV), Ekologia ja evoluutiobiologia, 30C65 (Primary)
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