Regularity of measure theoretic entropy for geodesic flows of negative curvature. I (Q1119240)

This paper reports on the results of a program investigating the regularity of entropy for \(C^{\infty}\) geodesic and Anosov flows under smooth perturbations. The authors mention that for more general systems there are examples, for which the entropy does not change continuously, and prove a regularity theorem for the measure theoretic entropy of a geodesic flow on a negatively curved surface.