Abstract
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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Communicated by Dmitry Dolgopyat.
Andrey Gogolev was partially supported by NSF Grant DMS-1266282. Jean-François Lafont was partially supported by NSF Grant DMS-1510640.
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Gogolev, A., Lafont, JF. Aspherical Products Which do not Support Anosov Diffeomorphisms. Ann. Henri Poincaré 17, 3005–3026 (2016). https://doi.org/10.1007/s00023-016-0492-7
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DOI: https://doi.org/10.1007/s00023-016-0492-7