Geodesic
Liouville classification of integrable geodesic flows on a projective plane in a potential field
Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 10-25.

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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. 
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E. I. Antonov; I. K. Kozlov. Liouville classification of integrable geodesic flows on a projective plane in a potential field. Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 10-25. http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a2/

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