Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2
Complex Variables
2020-06-04 v1 Dynamical Systems
Abstract
We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of C^2. Along the way we also show that a sufficient condition for hyperbolicity is that local stable and unstable manifolds of saddle points have uniform geometry.
Keywords
Cite
@article{arxiv.2006.02088,
title = {Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2},
author = {Eric Bedford and Romain Dujardin},
journal= {arXiv preprint arXiv:2006.02088},
year = {2020}
}