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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 1997 Volume 2, Issue 1, Pages 96–102 (Mi rcd974)
This article is cited in 3 papers

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

V. S. Matveev

119899, Russia, Moscow, Vorobyovy Gory, Moscow State University, Faculty of Mechanics and Mathematics, Department of Differential Geometry and Applications

Abstract: 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.

Received: 28.11.1996

DOI: 10.1070/RD1997v002n01ABEH000030



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