Problem 37

Are geodesic flows $h$-expansive?

Comments

  • Ledrappier (2016-11-14 13:57:39 -0800 -0800):

    [newhouse1989continuity] for $C^\infty $ metrics, right?

  • crovisier (2017-06-27 11:58:15 -0700 -0700):

    The geodesic flow for C∞ metrics is asymptotically h-expansive, but not h-expansive in general (there may be elliptic islands with positive entropy).