Gromov hyperbolicity of the jG and jG metrics
By P. Hasto. 2005
73 citations recorded by the source corpus.
In this note it is shown that the j G metric is always Gromov hyperbolic, but that the j G metric is Gromov hyperbolic if and only if G has exactly one boundary point. As a corollary we get a new proof for the fact that the quasihyperbolic metric is Gromov hyperbolic in uniform domains.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/f13e875159c9dfa8fde98e8096b00bd88efeb841
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- A characterization of Gromov hyperbolicity of surfaces with variable negative curvature (2009, background): “However, the Vuorinen metric ([24]) is not Gromov hyperbolic except in a particular case.”