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arXiv · 0806.0093

A real variable characterization of Gromov hyperbolicity of flute surfaces

Ana Portilla·Jose M. Rodriguez·Eva Touris
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Abstract

In this paper we give a characterization of the Gromov hyperbolicity of trains (a large class of Denjoy domains which contains the flute surfaces) in terms of the behavior of a real function. This function describes somehow the distances between some remarkable geodesics in the train. This theorem has several consequences; in particular, it allows to deduce a result about stability of hyperbolicity, even though the original surface and the modified one are not quasi-isometric.

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Ana Portilla, Jose M. Rodriguez, Eva Touris. 2008-05-31. A real variable characterization of Gromov hyperbolicity of flute surfaces. https://arxiv.org/abs/0806.0093

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