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On the integrability of intermediate distributions for Anosov diffeomorphisms†
Published online by Cambridge University Press: 19 September 2008
Abstract
We study the integrability of intermediate distributions for Anosov diffeomorphisms and provide an example of a C∞-Anosov diffeomorphism on a three-dimensional torus whose intermediate stable foliation has leaves that admit only a finite number of derivatives. We also show that this phenomenon is quite abundant. In dimension four or higher this can happen even if the Lyapunov exponents at periodic orbits are constant.
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- Copyright © Cambridge University Press 1995
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