Bertrand surfaces with pseudo-Riemannian rotation metrics / O. A. Zagryadskii. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 1. P. 66-69 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 49-52].

A generalization of the classic Bertrand theorem to surfaces of revolution with an indefinite metric without equators is presented. Their embeddings into the Minkowski space \mathbb{R}^3_2 are constructed and an analogue of Santoprete's criterion is formulated.

Key words: Hamiltonian systems, surfaces of revolution, Bertrand's theorem, closed orbits.

№ 1/2015