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On manifolds supporting quasi Anosov diffeomorphisms

Jana Rodriguez Hertz·Raul Ures·Jose L. Vieitez
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Abstract

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 fundamental group contains a copy of ${\mathbb Z} ^6$. If $n=4$ then $Π_1(M)$ contains a copy of ${\mathbb Z} ^4$, provided that the diffeomorphism is not Anosov.

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Jana Rodriguez Hertz, Raul Ures, Jose L. Vieitez. 2001-10-11. On manifolds supporting quasi Anosov diffeomorphisms. https://arxiv.org/abs/math/0110123

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