A real variable characterization of Gromov hyperbolicity of flute surfaces
Complex Variables
2008-06-03 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.0806.0093,
title = {A real variable characterization of Gromov hyperbolicity of flute surfaces},
author = {Ana Portilla and Jose M. Rodriguez and Eva Touris},
journal= {arXiv preprint arXiv:0806.0093},
year = {2008}
}
Comments
23 pages, 1 latex file, 2 eps figures