Gromov hyperbolicity and quasihyperbolic geodesics
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🧮 math.MG
math.CV
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conditiongromovhyperbolicitymetricomegapropertiesquasihyperbolicspace
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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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