On the integrability of intermediate distributions for Anosov diffeomorphisms

M. Jiang, Yakov B. Pesin, R. de la Llave

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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.

Original languageEnglish (US)
Pages (from-to)317-331
Number of pages15
JournalErgodic Theory and Dynamical Systems
Volume15
Issue number2
DOIs
StatePublished - Jan 1 1995

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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