Abstract:
We will discuss how to apply various symplectic maps and Maupertuis principle to construct new integrable metrics (geodesic flows). As an example, we will present a few equivalent metrics on 2D sphere, ellipsoid and plane with cubic, quartic and sextic invariants. By materials of Dynamics in Siberia conference, see presentation in https://www.researchgate.net/publication/359003956_On_integrable_geodesic_flows_sphere_ellipsoid_and_hyperboloid
Доклад состоялся 9 марта 2022
Russian (Russia) 
English (United Kingdom)