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Sbornik: Mathematics, 1997, Volume 188, Issue 2, Pages 307–326
DOI: https://doi.org/10.1070/sm1997v188n02ABEH000205
(Mi sm205)
 

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
References:
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
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 2, Pages 137–157
DOI: https://doi.org/10.4213/sm205
Bibliographic databases:
UDC: 517.9+531.01
MSC: Primary 58F17; Secondary 15A72, 53C22, 32J15
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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\paper Tensor invariants of natural mechanical systems on compact surfaces, and the~corresponding integrals
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\yr 1997
\vol 188
\issue 2
\pages 137--157
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\transl
\jour Sb. Math.
\yr 1997
\vol 188
\issue 2
\pages 307--326
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Linking options:
  • https://www.mathnet.ru/eng/sm205
  • https://doi.org/10.1070/sm1997v188n02ABEH000205
  • https://www.mathnet.ru/eng/sm/v188/i2/p137
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:418
    Russian version PDF:192
    English version PDF:16
    References:79
    First page:1
     
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