Comparative Gromov hyperbolicity results for thehyperbolic and quasihyperbolic metricst

摘要

In this article, we investigate the Gromov hyperbolicity of Denjoy domainsequipped with the hyperbolic or the quasihyperbolic metric. The focus areon comparative or decomposition results, which allow us to reduce thequestion of whether a given domain is Gromov hyperbolic to a series ofquestions concerning simpler domains. We also give several concreteexamples of applications of the results.