Quadratically Integrable Geodesic Flows on the Torus and on the Klein Bottle

    1997, Volume 2, Number 1, pp.  96-102

    Author(s): Matveev V. S.

    We classify integrable geodesic flows on the torus and on the Klein bottle, which in addition admit a quadratic in momenta first integral. We also study cases if there exists an additional linear integral.
    Citation: Matveev V. S., Quadratically Integrable Geodesic Flows on the Torus and on the Klein Bottle, Regular and Chaotic Dynamics, 1997, Volume 2, Number 1, pp. 96-102
    DOI: 10.1070/RD1997v002n01ABEH000030


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