Explicit form of the Bertrand second type metric / O. A. Zagryadskii, D. A. Fedoseev. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 5. P. 46-50 [Moscow Univ. Math. Bulletin. Vol. 68, N 5, 2013.].
The problem of explicit form of the metric of revolution on Bertrand's Riemannian manifolds in particular coordinates is solved. Connections with earlier results due to M.~Santoprete are discussed.
Key words: Bertrand's manifold, surface of revolution, Hamiltonian systems.