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handle: 10016/6441
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.
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
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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