On the integrability of intermediate distributions for Anosov diffeomorphisms

M. Jiang; ya B. Pesin; R. de la Llave

doi:10.1017/S0143385700008397

On the integrability of intermediate distributions for Anosov diffeomorphisms

M. Jiang, ya 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 language	English (US)
Pages (from-to)	317-331
Number of pages	15
Journal	Ergodic Theory and Dynamical Systems
Volume	15
Issue number	2
DOIs	https://doi.org/10.1017/S0143385700008397
State	Published - Apr 1995

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/S0143385700008397

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title = "On the integrability of intermediate distributions for Anosov diffeomorphisms",

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.",

author = "M. Jiang and Pesin, {ya B.} and {de la Llave}, R.",

year = "1995",

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AU - Pesin, ya B.

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N2 - 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.

AB - 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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ER -

On the integrability of intermediate distributions for Anosov diffeomorphisms

Abstract

All Science Journal Classification (ASJC) codes

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