Timeline for A kind of converse to the Hopf theorem on ergodicity of geodesic flow in negative curvature
Current License: CC BY-SA 4.0
4 events
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Jul 9, 2018 at 16:26 | comment | added | coudy | The curvature is zero at a point, the flow is Anosov, you make a perturbation such that the curvature becomes positive around the point and the flow stays Anosov. | |
Jul 9, 2018 at 7:54 | comment | added | Ali Taghavi | But a slight perturbation of a compact surface with strictly negative curvature is stile a surface with strictly negative curvature. Am I right? But i think that there is modification of your argument. I try to find the valuable reference you mentioned in your answer and learn them. thanks again for your attention to my question and these very helpful references | |
Jul 8, 2018 at 19:49 | comment | added | Ali Taghavi | Thank you very much for this very great answer. I am sorry that I can not accept the two answers simultaneously. meta.mathoverflow.net/questions/1491/… | |
Jul 8, 2018 at 19:37 | history | answered | coudy | CC BY-SA 4.0 |