English

Aspherical products which do not support Anosov diffeomorphisms

Dynamical Systems 2017-01-30 v2

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.

Cite

@article{arxiv.1511.00261,
  title  = {Aspherical products which do not support Anosov diffeomorphisms},
  author = {Andrey Gogolev and Jean-François Lafont},
  journal= {arXiv preprint arXiv:1511.00261},
  year   = {2017}
}

Comments

19 pages

R2 v1 2026-06-22T11:34:07.026Z