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

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.

References in corpus (2)

• A (short) survey on Dominated Splitting
• Structure of partially hyperbolic Hénon maps