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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 6, Pages 601–606
DOI: https://doi.org/10.1134/S156035471406001X (Mi rcd8) 		 
This article is cited in 23 scientific papers (total in 25 papers)

On Rational Integrals of Geodesic Flows

Valery V. Kozlov

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Citations (25)
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DOI: https://doi.org/10.1134/S156035471406001X
Abstract: This paper is concerned with the problem of first integrals of the equations of geodesics on two-dimensional surfaces that are rational in the velocities (or momenta). The existence of nontrivial rational integrals with given values of the degrees of the numerator and the denominator is proved using the Cauchy–Kovalevskaya theorem.
Keywords: conformal coordinates, rational integral, irreducible integrals, Cauchy–Kovalevskaya theorem.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Scientific Foundation.
Received: 29.09.2014
Accepted: 17.10.2014
Bibliographic databases:
Document Type: Article
MSC: 34A34, 58E10
Language: English
Citation: Valery V. Kozlov, “On Rational Integrals of Geodesic Flows”, Regul. Chaotic Dyn., 19:6 (2014), 601–606
Citation in format AMSBIB
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\by Valery V. Kozlov
\paper On Rational Integrals of Geodesic Flows
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 6
\pages 601--606
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\crossref{https://doi.org/10.1134/S156035471406001X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3284603}
\zmath{https://zbmath.org/?q=an:06507821}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2014RCD....19..601K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000345996200001}
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  • https://www.mathnet.ru/eng/rcd/v19/i6/p601
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    This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:64
     
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