Aspherical Products Which do not Support Anosov Diffeomorphisms

@article{Gogolev2015AsphericalPW,
  title={Aspherical Products Which do not Support Anosov Diffeomorphisms},
  author={A. Gogolev and Jean-Franccois Lafont},
  journal={Annales Henri Poincar{\'e}},
  year={2015},
  volume={17},
  pages={3005-3026}
}
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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