The relations between the Bertrand, Bonnet, and Tannery classes

DOI10.3103/S0027132214060096zbMath1323.53008OpenAlexW2093225994MaRDI QIDQ2356503

O. A. Zagryadskii

Publication date: 30 July 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132214060096

zbMATH Keywords

surfaces of revolutionBonnet surfacesBertrand surfacesTannery surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (1)

Noncompact bifurcations of integrable dynamic systems

Cites Work

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• Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
• Isometric surfaces with a common mean curvature and the problem of Bonnet pairs
• A generalization of Bertrand's theorem to surfaces of revolution
• Gravitational and harmonic oscillator potentials on surfaces of revolution

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