The relations between the Bertrand, Bonnet, and Tannery classes
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Published:2014-11
Issue:6
Volume:69
Page:277-279
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ISSN:0027-1322
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Container-title:Moscow University Mathematics Bulletin
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language:en
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Short-container-title:Moscow Univ. Math. Bull.
Author:
Zagryadskii O. A.
Subject
General Mathematics
Reference7 articles.
1. M. Santoprete, “Gravitational and Harmonic Oscillator Potentials on Surfaces of Revolution,” Math. Phys. 49(4), (2008).
2. O. A. Zagryadskii, E. A. Kudryavtseva, and D. A. Fedoseev, “A Generalization of Bertrand’s Theorem to Surfaces of Revolution,” Matem. Sborn. 203(8), 39 (2012) [Sbornik: Math. 203 (8), 1112 (2012)].
3. A. Ballesteros, A. Enciso, F. J. Herranz, and O. Ragnisco, “Hamiltonian Systems Admitting a Runge-Lenz Vector and an Optimal Extension of Bertrand’s Theorem to Curved Manifolds,” Communs Math. Phys. 290, 1033 (2009).
4. I. Kh. Sabitov, “Isometric Surfaces with a Common Mean Curvature and the Problem of Bonnet Pairs,” Matem. Sborn. 203(1), 115 (2012), [Sbornik: Math. 203 (1), 111 (2012)].
5. A. Besse, Manifolds All of Whose Geodesics are Closed (Springer, Berlin, 1978).