The problem of metrizability of dynamical systems that admit normal shift
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 1, pp. 85-93 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force-field of metrizable newtonian dynamical system $\partial _{tt}\mathbf r=\mathbf F(\mathbf r,\partial _t\mathbf r)$ is found.
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     title = {The problem of metrizability of dynamical systems that admit normal shift},
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R. A. Sharipov. The problem of metrizability of dynamical systems that admit normal shift. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 1, pp. 85-93. http://geodesic.mathdoc.fr/item/TMF_1994_101_1_a7/

[1] Boldin A. Yu., Sharipov R. A., TMF, 97:3 (1993), 386–395 | MR | Zbl

[2] Boldin A. Yu., Sharipov R. A., TMF, 100:2 (1994), 264–269 | MR | Zbl

[3] Bianchi L., Ann. Mat., 18:3 (1911), 185–243 | DOI | MR | Zbl

[4] Teneblat K., Bol. Soc. Bras. Math., 18:2 (1985), 67–92

[5] Levi-Civita T., Ann. Mat. {, ser. 2}, 24 (1896), 255–300 | DOI | Zbl

[6] Sinyukov N. S., Geodezicheskie otobrazheniya rimanovykh prostranstv, Nauka, M., 1979 | MR | Zbl

[7] Sinyukov N. S., “Pochti geodezicheskie otobrazheniya affinnosvyaznykh i rimanovykh prostranstv”, Itogi nauki i tekhniki. Problemy geometrii, 13, VINITI, M., 1982, 3–26 | MR | Zbl

[8] Aminova A. V., UMN, 48:2 (1993), 107 | MR | Zbl

[9] Petrov A. Z., Modelirovanie fizicheskikh polei, vyp. 4–5, Gravitatsiya i teoriya otnositelnosti, Kazanskii universitet, Kazan

[10] Petrov A.Z., DAN SSSR, 186:6 (1969), 1302–1305

[11] Petrov A. Z., DAN SSSR, 190:2 (1970), 305–308

[12] Petrov A. Z., K voprosu o modelirovanii polei gravitatsii, Preprint ITF-71-130 R, Institut teoreticheskoi fiziki, Kiev, 1971