Tangent bundles to regular basic sets in hyperbolic dynamics

Stoyanov, Luchezar

doi:10.1090/S0002-9939-2011-11001-3

Tangent bundles to regular basic sets in hyperbolic dynamics
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Proc. Amer. Math. Soc. 140 (2012), 1623-1631 Request permission

Abstract:

Given a locally maximal compact invariant hyperbolic set $\Lambda$ for a $C^2$ flow or diffeomorphism on a Riemann manifold with $C^1$ stable laminations, we construct an invariant continuous bundle of tangent vectors to local unstable manifolds that locally approximates $\Lambda$ in a certain way.

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