Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 1, Pages 66–69 (Mi vmumm213)  
This article is cited in 1 scientific paper (total in 1 paper)

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Bertrand surfaces with a pseudo-Riemannian metric of revolution

O. A. Zagryadskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A generalization of the classic Bertrand theorem to surfaces of revolution with an indefinite metric without equators is presented. Their embeddings into the Minkowski space $\mathbb{R}^3_2$ are constructed and an analogue of Santoprete's criterion is formulated.
Key words: Hamiltonian systems, surfaces of revolution, Bertrand's theorem, closed orbits.
Received: 04.06.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 1, Pages 49–52
DOI: https://doi.org/10.3103/S0027132215010118
Bibliographic databases:
Document Type: Article
UDC: 514.852
Language: Russian
Citation: O. A. Zagryadskii, “Bertrand surfaces with a pseudo-Riemannian metric of revolution”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 66–69; Moscow University Mathematics Bulletin, 70:1 (2015), 49–52
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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