Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$

Eric Bedford, Lorenzo Guerini, John Smillie
2022 Pure and Applied Mathematics Quarterly  
We consider complex Henon maps which are quasihyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.
doi:10.4310/pamq.2022.v18.n1.a1 fatcat:2rf7puudejgvhidp5v4edt6kri