Gromov hyperbolicity and quasihyperbolic geodesics

Details Gromov hyperbolicity and quasihyperbolic geodesics Gromov hyperbolicity and quasihyperbolic geodesics

2012-04-23

arxiv.org/abs/1204.4996v1

Mathematics

Metric Geometry

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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