No invariant line fields on Cantor Julia sets

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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.
21 pages, 2 figures

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Dynamical Systems, Complex Variables, 37F10; 37F20

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http://salesiana.dossiersoluciones.com/handle/123456789/116452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609255
 http://arxiv.org/abs/math/0609255

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arXiv