paper

Gromov hyperbolicity and quasihyperbolic geodesics

arXiv:1204.4996

Abstract

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

arXiv comment17 pages