No invariant line fields on Cantor Julia sets
动力系统
2007-05-23 v3 复变函数
摘要
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.
关键词
引用
@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}
}
备注
21 pages, 2 figures