# 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}
}```
• Published 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