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Lipeomorphisms close to an Anosov diffeomorphism
Published online by Cambridge University Press: 22 January 2016
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It is well-known that an Anosov diffeomorphism f on a compact manifold is structurally stable in the space of all C1-diffeomorphisms, with the C1-topology (Anosov [1]). In this paper we show that f is also structurally stable in the space of all lipeomorphisms, with a lipschitz topology. The proof is similar to that of the C1-case by J. Moser [4].
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1974
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