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

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.

References in corpus (1)

• A structure theorem for semi-parabolic Hénon maps

Cited by in corpus (1)

• Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2