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

DOI10.3103/S0027132215030043zbMath1335.53005OpenAlexW2329047665WikidataQ115223437 ScholiaQ115223437MaRDI QIDQ253950

D. A. Fedoseev, O. A. Zagryadskii

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.3103/s0027132215030043

zbMATH Keywords

motion of a particleclosed orbitscentral force

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

The Bertrand's manifolds with equators ⋮ Geometry, dynamics and different types of orbits

Cites Work

• New approach to symmetries and singularities in integrable Hamiltonian systems
• A generalization of Bertrand's theorem to surfaces of revolution
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