Intégrabilité et classification orbitale du flot géodésique des métriques Finslériennes de courbure sectionnelle constante positive – Patrick Foulon

Patrick Foulon
I2M, CNRS, Marseille
/user/patrick.foulon/

Date(s) : 05/10/2018   iCal
11 h 00 min - 12 h 00 min

We show that the geodesic flow of any Finsler metric of constant positive flag curvature is Liouville integrable. Using this, we show that, in dimension 2, the geodesic flow is conjugate to that of the Katok metrics.

Based on joint results with R. Bryant, S. Ivanov, V. Matveev and W. Ziller. https://hal.archives-ouvertes.fr/hal-02361817v2

Integrability and orbital classification of the geodesic flow of Finslerian metrics of positive constant sectional curvature.

http://www.cirm-math.fr/~foulon/

Catégories



Retour en haut