Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 5, Pages 29–34 (Mi vmumm434)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The number of connected components in the preimage of a regular value of the momentum mapping for the geodesic flow on ellipsoid

S. S. Nikolaenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A Liouville foliation of the geodesic flow of a generic ellipsoid is considered in the paper. The main goal is the demonstration of various approaches to computation of the number of connected components in the preimage of a regular value of the moment map. This is done with the use of the Boolean functions method of M. P. Kharlamov and also N. T. Zung's result on the decomposition of a hyperbolic singularity to an almost direct product of $2$-dimensional atoms.
Key words: integrable Hamiltonian system, geodesic flow, ellipsoid, Liouville foliation, Boolean function.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00748-a
Ministry of Education and Science of the Russian Federation НШ-1410.2012.1
14.740.11.0794
11.G34.31.0054
Received: 20.06.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 5, Pages 241–245
DOI: https://doi.org/10.3103/S0027132213050057
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: S. S. Nikolaenko, “The number of connected components in the preimage of a regular value of the momentum mapping for the geodesic flow on ellipsoid”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 5, 29–34; Moscow University Mathematics Bulletin, 68:5 (2013), 241–245
Citation in format AMSBIB
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\paper The number of connected components in the preimage of a regular value of the momentum mapping for the geodesic flow on ellipsoid
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 5
\pages 29--34
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 5
\pages 241--245
\crossref{https://doi.org/10.3103/S0027132213050057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887364675}
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    • This publication is cited in the following 1 articles:
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