Geodesic
The explicit form of the Bertrand metric
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 46-50

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. 
@article{VMUMM_2013_5_a8,
     author = {O. A. Zagryadskii and D. A. Fedoseev},
     title = {The explicit form of the {Bertrand} metric},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {46--50},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a8/}
}
TY  - JOUR
AU  - O. A. Zagryadskii
AU  - D. A. Fedoseev
TI  - The explicit form of the Bertrand metric
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2013
SP  - 46
EP  - 50
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a8/
LA  - ru
ID  - VMUMM_2013_5_a8
ER  - 
%0 Journal Article
%A O. A. Zagryadskii
%A D. A. Fedoseev
%T The explicit form of the Bertrand metric
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2013
%P 46-50
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a8/
%G ru
%F VMUMM_2013_5_a8
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/