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 product of spheres at least one of which is even-dimensional does not support transitive Anosov diffeomorphisms.
|Original language||English (US)|
|Number of pages||18|
|Journal||Bulletin of the London Mathematical Society|
|State||Published - Apr 2014|
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