Tangent bundles to regular basic sets in hyperbolic dynamics

Abstract

Given a locally maximal compact invariant hyperbolic set $Λ$ for a $C^1$ flow or diffeomorphism on a Riemann manifold with $C^1$ unstable laminations, we construct an invariant continuous bundle of tangent vectors to local unstable manifolds that locally approximates $Λ$ in a certain way.

7 pages