Liouville classification of integrable geodesic flows on a projective plane in a potential field
https://doi.org/10.22405/2226-8383-2020-21-2-10-25
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.
About the Authors
Evgenii Igorevich Antonov
M. V. Lomonosov MSU
Russian Federation
Russian Federation
student at the Department of Differential Geometry and Applications of the Faculty of Mechanics and Mathematics
Ivan Konstantinovich Kozlov
M. V. Lomonosov MSU
Russian Federation
Russian Federation
candidate of physical and mathematical Sciences, associate professor at the Department of Differential Geometry and Applications of the Faculty of Mechanics and Mathematics
Review
For citations:
Antonov E.I., Kozlov I.K. Liouville classification of integrable geodesic flows on a projective plane in a potential field. Chebyshevskii Sbornik. 2020;21(2):10-25. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-2-10-25
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