Liouville classification of integrable geodesic flows on a projective plane in a potential field

E. I. Antonov, I. K. Kozlov

Faculty of Mechanics and Mathematics of M. V. Lomonosov MSU (Moscow)

Abstract: A Liouville classification of a natural Hamiltonian system on the projective plane with a rotation metric and a linear integral is obtained. All Fomenko–Zieschang invariants (i. e., labeled molecules) of the system are calculated.

Keywords: integrable Hamiltonian systems, geodesic flow, labeled molecule, Fomenko–Zieschang invariant.

UDC: 517.938.5

Received: 12.01.2019
Accepted: 11.03.2020

DOI: 10.22405/2226-8383-2018-21-2-10-25