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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 1, Pages 96–102
DOI: https://doi.org/10.1070/RD1997v002n01ABEH000030 (Mi rcd974) 		 
This article is cited in 3 scientific papers (total 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
Citations (3)
DOI: https://doi.org/10.1070/RD1997v002n01ABEH000030
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
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Matveev, “Quadratically Integrable Geodesic Flows on the Torus and on the Klein Bottle”, Regul. Chaotic Dyn., 2:1 (1997), 96–102
Citation in format AMSBIB
\Bibitem{Mat97}
\by V.~S.~Matveev
\paper Quadratically Integrable Geodesic Flows on the Torus and on the Klein Bottle
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 1
\pages 96--102
\mathnet{http://mi.mathnet.ru/rcd974}
\crossref{https://doi.org/10.1070/RD1997v002n01ABEH000030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1635212}
\zmath{https://zbmath.org/?q=an:0937.37011}
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  • https://www.mathnet.ru/eng/rcd/v2/i1/p96
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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