no. 2
Linear connections for systems of second-order ordinary differential equations
Annales de l'I.H.P. Physique théorique, Tome 65 (1996) no. 2, pp. 223-249 
@article{AIHPA_1996__65_2_223_0,
     author = {Crampin, M. and Mart{\'\i}nez, E. and Sarlet, W.},
     title = {Linear connections for systems of second-order ordinary differential equations},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {223--249},
     year = {1996},
     publisher = {Gauthier-Villars},
     volume = {65},
     number = {2},
     mrnumber = {1411267},
     zbl = {0912.58002},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1996__65_2_223_0/}
}
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Crampin, M.; Martínez, E.; Sarlet, W. Linear connections for systems of second-order ordinary differential equations. Annales de l'I.H.P. Physique théorique, Tome 65 (1996) no. 2, pp. 223-249. https://www.numdam.org/item/AIHPA_1996__65_2_223_0/

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