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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Proceedings of GDIS 2008, Belgrade
Isomorphisms of geodesic flows on quadrics
A. V. Borisov, I. S. Mamaev Institute of Computer Science, Udmurt State University,
ul. Universitetskaya 1, Izhevsk, 426034 Russia
Аннотация:
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.
Ключевые слова:
quadric, geodesic flows, integrability, compactification, regularization, isomorphism.
Поступила в редакцию: 06.06.2008 Принята в печать: 02.03.2009
Образец цитирования:
A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Regul. Chaotic Dyn., 14:4-5 (2009), 455–465
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd975 https://www.mathnet.ru/rus/rcd/v14/i4/p455
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