Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 3, Pages 18–24 (Mi vmumm234)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The global and local realizability of Bertrand Riemannian manifolds as surfaces of revolution

O. A. Zagryadskii, D. A. Fedoseev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (338 kB) Citations (1)
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Abstract: The problem of possibility to represent two-dimensional Bertrand's Riemannian manifolds being a configuration space of the inverse problem of dynamics as surfaces of revolution embedded into $\mathbb{R}^3$ is studied and solved as well as the problem of local realizability (near a longitude) of the manifolds under consideration.
Key words: Bertrand's Riemannian 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, 2015, Volume 70, Issue 3, Pages 119–124
DOI: https://doi.org/10.3103/S0027132215030043
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: O. A. Zagryadskii, D. A. Fedoseev, “The global and local realizability of Bertrand Riemannian manifolds as surfaces of revolution”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 3, 18–24; Moscow University Mathematics Bulletin, 70:3 (2015), 119–124
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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