The explicit form of the Bertrand metric

DOI10.3103/S0027132213050094zbMath1333.53056MaRDI QIDQ263250

O. A. Zagryadskii, D. A. Fedoseev

Publication date: 4 April 2016

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

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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 topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds
• A generalization of Bertrand's theorem to surfaces of revolution
• Gravitational and harmonic oscillator potentials on surfaces of revolution

This page was built for publication: The explicit form of the Bertrand metric