Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 5, Pages 46–50 (Mi vmumm438)  
This article is cited in 5 scientific papers (total in 5 papers)

Mathematics

The explicit form of the Bertrand metric

O. A. Zagryadskii, D. A. Fedoseev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (236 kB) Citations (5)
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Abstract: The problem of explicit form of the metric of revolution on Bertrand's Riemannian manifolds in particular coordinates is solved. Connections with earlier results due to M. Santoprete are discussed.
Key words: Bertrand's manifold, surface of revolution, Hamiltonian systems.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0054
НШ-1410.2012.1
Russian Foundation for Basic Research 13-01-00664-а
Received: 20.02.2013
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 5, Pages 258–262
DOI: https://doi.org/10.3103/S0027132213050094
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: O. A. Zagryadskii, D. A. Fedoseev, “The explicit form of the Bertrand metric”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 5, 46–50; Moscow University Mathematics Bulletin, 68:5 (2013), 258–262
Citation in format AMSBIB
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\paper The explicit form of the Bertrand metric
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
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\issue 5
\pages 46--50
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 5
\pages 258--262
\crossref{https://doi.org/10.3103/S0027132213050094}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887338426}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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