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arXiv · 0806.0097

Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics

Peter Hästö·Henri Linden·Ana Portilla·Jose M. Rodriguez·E. Touris
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Abstract

We obtain explicit and simple conditions which in many cases allow one decide, whether or not a Denjoy domain endowed with the Poincare or quasihyperbolic metric is Gromov hyperbolic. The criteria are based on the Euclidean size of the complement. As a corollary, the main theorem allows to deduce the non-hyperbolicity of any periodic Denjoy domain.

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Peter Hästö, Henri Linden, Ana Portilla, Jose M. Rodriguez, E. Touris. 2008-05-31. Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics. https://arxiv.org/abs/0806.0097

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