94-359 M. Jiang, R. de la Llave, Y. Pesin

On the Integrability of Intermediate Distributions for Anosov Diffeomorphisms (50K, TeX) Nov 20, 94

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Abstract. We study the integrability of intermediate distributions for Anosov diffeomorphisms and provide an example of $C^\infty-$Anosov diffeomorphism on 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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