Intégrabilité et classification orbitale du flot géodésique des métriques Finslériennes de courbure sectionnelle constante positive
Patrick Foulon
I2M, CNRS, Marseille
/user/patrick.foulon/
Date(s) : 05/10/2018 iCal
11h00 - 12h00
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/
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