Geodesic
The explicit form of the Bertrand metric
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 46-50 
O. A. Zagryadskii; D. A. Fedoseev. The explicit form of the Bertrand metric. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 46-50. http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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