6533b884fe1ef96bd12de7dc

RESEARCH PRODUCT

Gromov hyperbolicity and quasihyperbolic geodesics

Pekka KoskelaPäivi LammiVesna Manojlovic

subject

Gromov hyperbolicityMathematics::Complex Variablesquasihyperbolic metricMathematics::Metric GeometryGehring-Hayman inequality

description

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. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-201505061734