Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics

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概要

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

• 2012-01-01

著者

• Rodriguez Jose

  Departamento De Bioquimica Instituto Nacional De Cardiologia

• Linden Henri

  Department Of Mathematics And Statistics

• HASTO Peter

  Department of Mathematical Sciences

• PORTILLA Ana

  St. Louis University (Madrid Campus)

• TOURIS Eva

  Departamento de Matematicas, Universidad Carlos III de Madrid

• Touris Eva

  Departamento De Matematicas Universidad Carlos Iii De Madrid

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