Return to Question

edited title

Link

edited Jul 8, 2018 at 12:57

366
8
31
123

The A kind of converse to the Hopf theorem on ergodicity of fact "Geodesicgeodesic flow is ergodic in negative curvature"curvature

Source Link

asked Jul 8, 2018 at 12:29

366
8
31
123

The converse of fact "Geodesic flow is ergodic in negative curvature"

Is there a 2 dimensional Riemannian manifold $M$ whose curvature is not negative but its geodesic flow is an ergodic flow?

dg.differential-geometry riemannian-geometry ds.dynamical-systems ergodic-theory