pith. sign in

arxiv: math/0609255 · v3 · submitted 2006-09-09 · 🧮 math.DS · math.CV

No invariant line fields on Cantor Julia sets

classification 🧮 math.DS math.CV
keywords juliacantorfieldsinvariantlinerationalcarriesfollows
0
0 comments X
read the original abstract

In this paper, we prove that a rational map with a Cantor Julia set carries no invariant line fields on its Julia set. It follows that a structurally stable rational map with a Cantor Julia set is hyperbolic.

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.