No invariant line fields on Cantor Julia sets

Details No invariant line fields on Cantor Julia sets No invariant line fields on Cantor Julia sets

2006-09-09

arxiv.org/abs/math/0609255v3

Mathematics

Dynamical Systems

21 pages, 2 figures

Scientific paper

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.

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