Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 3, Pages 46–50 (Mi vmumm153)  
This article is cited in 9 scientific papers (total in 9 papers)

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The topology of the analog of Kovalevskaya integrability case on the Lie algebra $\mathrm{so}(4)$ under zero area integral

V. A. Kibkalo

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (603 kB) Citations (9)
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Abstract: We study the topology of the space of the solutions closure for the integrable system on the Lie algebra $\mathrm{so}(4)$ that is an analogue of the Kovalevskaya case. For this purpose Fomenko–Zieschang invariants are calculated in the case of zero area integral, which classify isoenergetic $3$-surfaces and corresponding Liouville foliation on them.
Key words: integrable Hamiltonian system, Fomenko–Zieschang invariants, isoenergetic surface.
Received: 27.05.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 3, Pages 119–123
DOI: https://doi.org/10.3103/S0027132216030074
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. A. Kibkalo, “The topology of the analog of Kovalevskaya integrability case on the Lie algebra $\mathrm{so}(4)$ under zero area integral”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3, 46–50; Moscow University Mathematics Bulletin, 71:3 (2016), 119–123
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:44
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