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
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.
quadric, geodesic flows, integrability, compactification, regularization, isomorphism.
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MSC: 53C22, 37Kxx
A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158
Citation in format AMSBIB
\by A.~V.~Borisov, I.~S.~Mamaev
\paper Isomorphisms of geodesic flows on quadrics
\jour Nelin. Dinam.
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