Geodesic
Metrizability of dynamical systems by a~conformally equivalent metric
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 2, pp. 276-282

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For the Newtonian dynamical systems on Riemannian manifolds the problem of metrizability by means of conformally equivalent metric is solved. 
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     author = {R. A. Sharipov},
     title = {Metrizability of dynamical systems by a~conformally equivalent metric},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {276--282},
     publisher = {mathdoc},
     volume = {103},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_2_a7/}
}
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R. A. Sharipov. Metrizability of dynamical systems by a~conformally equivalent metric. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 2, pp. 276-282. http://geodesic.mathdoc.fr/item/TMF_1995_103_2_a7/