Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 2, Pages 145–158 (Mi nd86)  
This article is cited in 1 scientific paper (total in 2 paper)

Isomorphisms of geodesic flows on quadrics

A. V. Borisov, I. S. Mamaev

Institute of Computer Science
Full-text PDF (532 kB) Citations (2)
Abstract: We consider several well-known isomorphisms between Jacobi's geodesic problem and some integrable cases from rigid body dynamics (the cases of Clebsch and Brun). A relationship between these isomorphisms is indicated. The problem of compactification for geodesic flows on noncompact surfaces is stated. This problem is hypothesized to be intimately connected with the property of integrability.
Keywords: quadric, geodesic flows, integrability, compactification, regularization, isomorphism.
Received: 03.06.2008
Document Type: Article
UDC: 517.93+512.77
MSC: 53C22, 37Kxx
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158
Citation in format AMSBIB
\Bibitem{BorMam09}
\by A.~V.~Borisov, I.~S.~Mamaev
\paper Isomorphisms of geodesic flows on quadrics
\jour Nelin. Dinam.
\yr 2009
\vol 5
\issue 2
\pages 145--158
\mathnet{http://mi.mathnet.ru/nd86}
Linking options:
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  • https://www.mathnet.ru/eng/nd/v5/i2/p145
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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