Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori

L. Flaminio; A. Katok

doi:10.1017/S0143385700006258

Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori

L. Flaminio, A. Katok

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We show that any symplectic Anosov diffeomorphism of a four torus T ⁴ with sufficiently smooth stable and unstable foliations is smoothly conjugate to a linear hyperbolic automorphism of T ⁴.

Original language	English (US)
Pages (from-to)	427-441
Number of pages	15
Journal	Ergodic Theory and Dynamical Systems
Volume	11
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700006258
State	Published - Sep 1991

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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title = "Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori",

abstract = "We show that any symplectic Anosov diffeomorphism of a four torus T 4 with sufficiently smooth stable and unstable foliations is smoothly conjugate to a linear hyperbolic automorphism of T 4.",

author = "L. Flaminio and A. Katok",

year = "1991",

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doi = "10.1017/S0143385700006258",

language = "English (US)",

volume = "11",

pages = "427--441",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

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T1 - Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori

AU - Flaminio, L.

AU - Katok, A.

PY - 1991/9

Y1 - 1991/9

N2 - We show that any symplectic Anosov diffeomorphism of a four torus T 4 with sufficiently smooth stable and unstable foliations is smoothly conjugate to a linear hyperbolic automorphism of T 4.

AB - We show that any symplectic Anosov diffeomorphism of a four torus T 4 with sufficiently smooth stable and unstable foliations is smoothly conjugate to a linear hyperbolic automorphism of T 4.

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori

Abstract

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