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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013 Number 5, Pages 46–50 (Mi vmumm438)

This article is cited 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

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.

UDC: 511

Received: 20.02.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:5, 258–262

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