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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 10–25
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-10-25 (Mi cheb892) 		 
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)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-2-10-25
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.
Funding agency Grant number
Russian Science Foundation 17-11-01303
Received: 12.01.2019
Accepted: 11.03.2020
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: E. I. Antonov, I. K. Kozlov, “Liouville classification of integrable geodesic flows on a projective plane in a potential field”, Chebyshevskii Sb., 21:2 (2020), 10–25
Citation in format AMSBIB
\Bibitem{AntKoz20}
\by E.~I.~Antonov, I.~K.~Kozlov
\paper Liouville classification of integrable geodesic flows on a projective plane in a potential field
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 10--25
\mathnet{http://mi.mathnet.ru/cheb892}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-2-10-25}
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