Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics

摘要

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.