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Hyperbolic manifolds with the strongly shadowing property
Published online by Cambridge University Press: 17 April 2009
Abstract
Let f be a C1 diffeomorphism of a compact smooth manifold M and λ ⊂ M a C1 compact invariant submanifold with a hyperbolic structure as a subset of M. We show that the diffeomorphism | λ is Anosov if and only if λ has the strongly shadowing property, and find hyperbolic sets which have the strongly shadowing property.
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- Research Article
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- Copyright © Australian Mathematical Society 1999
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