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arxiv: 1511.00261 · v2 · pith:DH3IX3EHnew · submitted 2015-11-01 · 🧮 math.DS

Aspherical products which do not support Anosov diffeomorphisms

classification 🧮 math.DS
keywords anosovdiffeomorphismssupportasphericalmanifoldsproductscasecertain
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We show that the product of infranilmanifolds with certain aspherical closed manifolds do not support Anosov diffeomorphisms. As a special case, we obtain that products of a nilmanifold and negatively curved manifolds of dimension at least 3 do not support Anosov diffeomorphisms.

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