A Generalized Hyperbolic Metric for Plane Domains

@inproceedings{Keen2006AGH,
  title={A Generalized Hyperbolic Metric for Plane Domains},
  author={Linda Keen and Nikola Laki{\vc}},
  year={2006}
}
A plane domain Ω with more than one boundary point admits a hyperbolic metric and with respect to this metric, every holomorphic map of Ω into a subdomain X ⊆ Ω is a contraction. In this paper we define a new metric for the image domain X that is greater than or equal to the hyperbolic metric. Like the hyperbolic metric it has the property that any… CONTINUE READING