Comparative Gromov Hyperbolicity Results for the Hyperbolic and Quasihyperbolic Metrics Articles uri icon

publication date

  • June 2010

start page

  • 127

end page

  • 135

issue

  • 1-3

volume

  • 55

international standard serial number (ISSN)

  • 1747-6933

electronic international standard serial number (EISSN)

  • 1747-6941

abstract

  • In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to
    reduce the question of whether a given domain is Gromov hyperbolic to a
    series of questions concerning simpler domains. We also give several
    concrete examples of applications of the results.