Geodesic
Bertrand surfaces with a pseudo-Riemannian metric of revolution
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 66-69 
O. A. Zagryadskii. Bertrand surfaces with a pseudo-Riemannian metric of revolution. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 66-69. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a13/
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     title = {Bertrand surfaces with a {pseudo-Riemannian} metric of revolution},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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