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arXiv · 1106.1058

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

Tomoo Yokoyama
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Abstract

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.

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Tomoo Yokoyama. 2011-06-13. On a Smale Conjecture for the existence of fixed points for Anosov diffeomorphisms. https://arxiv.org/abs/1106.1058

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