Global and local realization of Bertrand Riemann manifolds in the form of revolution surfaces / O. A. Zagryadskii, D. A. Fedoseev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 3. P. 18-24 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 119-124].

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.

№ 3/2015