On manifolds supporting quasi Anosov diffeomorphisms

Jana Rodriguez Hertz, Raul Ures, Jose L. Vieitez

Let $M$ be an $n$-dimensional manifold supporting a quasi Anosov diffeomorphism. If $n=3$ then either $M={\mathbb{T}}^3$, in which case the diffeomorphisms is Anosov, or else its fu…