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5
votes
Reference request on dynamics and hyperbolic dynamics (hyperbolicity in absence of periodic ...
I'm not sure why people are downvoting this question—I think it's reasonable—but here are a couple of reasons there might not be a rich literature on this topic. One is simply that in many natural sit …
4
votes
Accepted
Is there a similar theorem in the partially hyperbolic case?
I think this runs into trouble at condition 1. For example, let $f : M \to M$ be an Anosov diffeomorphism that satisfies these conditions. The map $g: M \times S^1 \to M \times S^1$ defined by $g = f …