Gromov hyperbolicity and quasihyperbolic geodesics
Metric Geometry
2012-04-24 v1 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.1204.4996,
title = {Gromov hyperbolicity and quasihyperbolic geodesics},
author = {Pekka Koskela and Päivi Lammi and Vesna Manojlović},
journal= {arXiv preprint arXiv:1204.4996},
year = {2012}
}
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17 pages