Bertrand surfaces with a pseudo-Riemannian metric of revolution

DOI10.3103/S0027132215010118zbMath1328.53015WikidataQ115223438 ScholiaQ115223438MaRDI QIDQ493892

O. A. Zagryadskii

Publication date: 4 September 2015

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

zbMATH Keywords

surfaces of revolutionpseudo-Riemannian metricBertrand theorem

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (1)

Darboux inversions of the Kepler problem

Cites Work

• Unnamed Item
• The integrability of some Hamiltonian systems
• A generalization of Bertrand's theorem to surfaces of revolution
• Gravitational and harmonic oscillator potentials on surfaces of revolution

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