No invariant line fields on Cantor Julia sets
Dynamical Systems
2007-05-23 v3 Complex Variables
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.
Keywords
Cite
@article{arxiv.math/0609255,
title = {No invariant line fields on Cantor Julia sets},
author = {Yongcheng Yin and Yu Zhai},
journal= {arXiv preprint arXiv:math/0609255},
year = {2007}
}
Comments
21 pages, 2 figures