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

Author： Rocha Jorge  

Publisher： Springer Publishing Company

ISSN： 0001-9054

Source： aequationes mathematicae, Vol.76, Iss.1-2, 2008-09, pp. : 105-111

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Abstract

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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