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A note on the C 0-centralizer of an open class of bidimensional Anosov diffeomorphisms

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Aequationes mathematicae Aims and scope Submit manuscript

Summary.

In this note we prove that the C 0-centralizer of a bidimensional Anosov diffeomorphism f having a unique fixed point is generated by f and a square root of the identity, if f reverses the orientation, or by a square root of f and a square root of the identity, otherwise.

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Authors and Affiliations

  1. Departamento de Matemática Pura, Univ. Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    Jorge Rocha

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  1. Jorge Rocha
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Correspondence to Jorge Rocha.

Additional information

Partially supported by FCT-POCTI/MAT/61237/2004.

Manuscript received: October 9, 2006 and, in final form, May 14, 2007.

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Rocha, J. A note on the C 0-centralizer of an open class of bidimensional Anosov diffeomorphisms. Aequ. math. 76, 105–111 (2008). https://doi.org/10.1007/s00010-007-2910-x

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  • DOI: https://doi.org/10.1007/s00010-007-2910-x

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