Spherical density of hyperbolic metric and uniform perfectness
classification
🧮 math.CV
keywords
hyperbolicboundarydensitydomainmetricsphericalboundcharacterization
read the original abstract
It is well known that a hyperbolic domain in the complex plane has uniformly perfect boundary precisely when the product of its hyperbolic density and the distance function to its boundary has a positive lower bound. We extend this characterization to a hyperbolic domain in the Riemann sphere in terms of the spherical metric.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.