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This article is cited in 10 scientific papers (total in 10 papers)
Tensor invariants of natural mechanical systems on compact surfaces, and the corresponding integrals
P. I. Topalov M. V. Lomonosov Moscow State University
Abstract:
In this paper sufficient conditions are given for the existence of tensor invariants of geodesic flows to imply their integrability. Analogous assertions are also proved for trajectory automorphisms of geodesic flows. All the tensor invariants on surfaces of constant negative curvature are described.
Received: 19.03.1996
Citation:
P. I. Topalov, “Tensor invariants of natural mechanical systems on compact surfaces, and the corresponding integrals”, Mat. Sb., 188:2 (1997), 137–157; Sb. Math., 188:2 (1997), 307–326
Linking options:
https://www.mathnet.ru/eng/sm205https://doi.org/10.1070/sm1997v188n02ABEH000205 https://www.mathnet.ru/eng/sm/v188/i2/p137
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Abstract page: | 418 | Russian version PDF: | 192 | English version PDF: | 16 | References: | 79 | First page: | 1 |
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