24 citations · 107 across the 30 of their papers we have counts for
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math.DS2012★ 9 cited
Manifolds with higher homotopy which do not support Anosov diffeomorphisms
Andrey Gogolev, Federico Rodriguez Hertz
We show that various classes of closed manifolds with non-trivial higher homotopy groups do not support (transitive) Anosov diffeomorphisms. In particular we show that a finite pro…
math.DS2012★ 6 cited
The space of Anosov diffeomorphisms
F. Thomas Farrell, Andrey Gogolev
We consider the space $\X$ of Anosov diffeomorphisms homotopic to a fixed automorphism of an infranilmanifold . We show that if is the 2-torus then $\X$ is…