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Gromov hyperbolicity of Denjoy Domains

Gromov hyperbolicity of Denjoy domains
Authors: Alvarez, Venancio; Portilla, Ana; Rodriguez, Jose M.; Touris, Eva;

Gromov hyperbolicity of Denjoy Domains

Abstract

In this paper we characterize the Gromov hyperbolicity of the double of a metric space. This result allows to give a characterization of the hyperbolic Denjoy domains, in terms of the distance to $\Bbb{R}$ of the points in some geodesics. In the particular case of trains (a kind of Riemann surfaces which includes the flute surfaces), we obtain more explicit criteria which depend just on the lengths of what we have called fundamental geodesics.

Keywords

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, Flute surface, Matemáticas, Direct methods (\(G\)-spaces of Busemann, etc.), flute surface, Schottky double, Geodesics in global differential geometry, Riemann surfaces, Denjoy domain, Gromov hyperbolicity, Riemann surface, Non-Euclidean differential geometry, train, Vector-valued measures and integration, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Train

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
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