Seminari del Dipartimento
Analisi Matematica Locally integrable non-Liouville analytic geodesic flows on T^2 Livia Corsi 14-09-2016 - 17:30 Aula 311 - Largo San Leonardo Murialdo,1 - Pal.C
A metric on T^2 is said to be ``Liouville" if in some coordinate system it has the form ds^2 = (g_1(q_1) + g_2(q_2)) (dq_1^2 + dq_2^2); a ``folklore conjecture" states that if a metric is locally integrable then it is Liouville. I will present a counterexample to this conjecture. |