Bounded Geometry and Families of Meromorphic Functions with Two Asymptotic Values
Dynamical Systems
2013-09-24 v2 Complex Variables
Abstract
In this paper we consider the topological class, denoted by AV2, of universal covering maps from the plane to the sphere with two removed points. We prove that an element f in AV2 with finite post-singular set is combinatorially equivalent to a meromorphic transcendental map g with constant Schwarzian derivative if any only if f satisfies a Bounded Geometry condition.
Keywords
Cite
@article{arxiv.1112.2557,
title = {Bounded Geometry and Families of Meromorphic Functions with Two Asymptotic Values},
author = {Tao Chen and Yunping Jiang and Linda Keen},
journal= {arXiv preprint arXiv:1112.2557},
year = {2013}
}
Comments
The topological constrain condition has been modified and corrected