Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics
Peter HästöHenri LindénAna PortillaJosé M. RodríguezEva Tourís
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ジャーナル フリー

2012 年 64 巻 1 号 p. 247-261

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抄録
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.
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© 2012 The Mathematical Society of Japan
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