arXiv:1106.1058 Abstract | arXiv Analytics

arXiv:1106.1058 [math.DS]Abstract References Reviews Resources

On a Smale Conjecture for the existence of fixed points for Anosov diffeomorphisms

Published 2011-06-06, updated 2011-06-13Version 3

We prove that if the stable foliation and the unstable foliation of an Anosov diffeomorphism on a connected compact manifold are $C^3$, then the diffeomorphism has fixed points. This is a partial positive answer to a Smale conjecture for fixed points of Anosov diffeomorphisms.

Comments: This paper has been withdrawn by the author due to a crucial error that the the constructed metric $g$ in the proof of the key lemma does not preserve subbundles

Categories: math.DS

Keywords: anosov diffeomorphism, fixed points, smale conjecture, connected compact manifold, partial positive answer

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