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. 
@article{CHEB_2020_21_2_a2,
     author = {E. I. Antonov and I. K. Kozlov},
     title = {Liouville classification of integrable geodesic flows on a projective plane in a potential field},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {10--25},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a2/}
}
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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/