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Non-conjugacy of a minimal distal diffeomorphism of the torus to aC 1 skew-product

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Abstract

An example is given of a positively oriented minimal distalC ∞ diffeomorphism of the torus which is not topologically conjugate to aC 1 skew-product.

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References

  1. V. Arnold,Small denominators I. Mappings of the circumference onto itself, Izv. Akad. Nauk SSSR Ser. Mat.25 (1961), 21–86; Amer. Math. Soc. Transl. Ser. 2,46 (1965), 213–284.

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  3. M. Herman,Sur la conjugaison différentiable des difféomorphisms du cercle à des rotations, Thesis, l’Université Paris Sud, Centre d’Orsay, 1975.

  4. M. Rees,On the structure of minimal distal transformation groups with topological manifolds as phase spaces, to appear.

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, Coventry, England

    M. Rees

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  1. M. Rees
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Rees, M. Non-conjugacy of a minimal distal diffeomorphism of the torus to aC 1 skew-product. Israel J. Math. 32, 193–200 (1979). https://doi.org/10.1007/BF02764915

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  • DOI: https://doi.org/10.1007/BF02764915

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