Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\Bbb C}^2$

Eric Bedford; Lorenzo Guerini; John Smillie

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arXiv · 1601.06268

Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\Bbb C}^2$

Eric Bedford·Lorenzo Guerini·John Smillie

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Abstract

We consider complex Henon maps which are quasi-hyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.

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Eric Bedford, Lorenzo Guerini, John Smillie. 2016-01-23. Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\Bbb C}^2$. https://arxiv.org/abs/1601.06268

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