Gromov hyperbolicity and quasihyperbolic geodesics

Mathematics – Metric Geometry

Scientific paper

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17 pages

Scientific paper

We characterize Gromov hyperbolicity of the quasihyperbolic metric space
(\Omega,k) by geometric properties of the Ahlfors regular length metric measure
space (\Omega,d,\mu). The characterizing properties are called the
Gehring--Hayman condition and the ball--separation condition.

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