Abstract:
The problem of possibility to represent two-dimensional Bertrand's Riemannian manifolds being a configuration space of the inverse problem of dynamics as surfaces of revolution embedded into $\mathbb{R}^3$ is studied and solved as well as the problem of local realizability (near a longitude) of the manifolds under consideration.
Key words:Bertrand's Riemannian manifold, surface of revolution, Hamiltonian systems.
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