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On First Integrals of Two-Dimensional Geodesic Flows

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Abstract

We study the first integrals polynomial and rational in momenta of the geodesic flows (including those in a magnetic field) on two-dimensional surfaces.

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Funding

Sections 2 and 4 were supported by the Laboratory of Topology and Dynamics of Novosibirsk State University (Contract no. 14.Y26.31.0025 with the Ministry of Education and Science of the Russian Federation). Section 3 was supported by the RFBR Grant 18–01–00411 “Nonlinear Systems and Geometry.”

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    S. V. Agapov

  2. Novosibirsk State University, Novosibirsk, Russia

    S. V. Agapov

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  1. S. V. Agapov
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Correspondence to S. V. Agapov.

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Agapov, S.V. On First Integrals of Two-Dimensional Geodesic Flows. Sib Math J 61, 563–574 (2020). https://doi.org/10.1134/S0037446620040011

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  • DOI: https://doi.org/10.1134/S0037446620040011

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