On a Smale Conjecture for the existence of fixed points for Anosov diffeomorphisms
Yokoyama, Tomoo
Original · EN
We prove that if the stable foliation and the unstable foliation of an Anosov diffeomorphism on a connected compact manifold are C³, 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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