Problem 37

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Are geodesic flows $h$-expansive?

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Comments

[1] for $C^\infty $ metrics, right?


References

  1. [newhouse1989continuity] Newhouse SE.  1989.  Continuity properties of entropy. Annals of Mathematics. 129:215–235.

The geodesic flow for C∞ metrics is asymptotically h-expansive, but not h-expansive in general

(there may be elliptic islands with positive entropy).

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