Geodesic
Functional equations in pseudo-Euclidean geometry
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 38-51.

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We solve functional equations on the metrics of all phenomenologically symmetric geometries in dimension $n+1$ that extend the metric of the $n$-dimensional pseudo-Euclidean geometry.
Keywords: functional equation, phenomenologically symmetric geometry. 
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V. A. Kyrov. Functional equations in pseudo-Euclidean geometry. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 38-51. http://geodesic.mathdoc.fr/item/SJIM_2010_13_4_a3/

[1] Lev V. Kh., “Trekhmernye geometrii v teorii fizicheskikh struktur”, Vychisl. sistemy, 125, 1985, 90–103

[2] Kyrov V. A., “Shestimernye algebryLi grupp dvizhenii trekhmernykh fenomenologicheski simmetrichnykh geometrii”, prilozhenie k knige: Mikhailichenko G. G., Polimetricheskie geometrii, izd. Novosib. gos. un-ta, Novosibirsk, 2001, 116–143

[3] Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978 | MR | Zbl

[4] Mikhailichenko G. G., “O gruppovoi i fenomenologicheskoi simmetriyakh v geometrii”, Dokl. AN SSSR, 269:2 (1983), 284–288 | MR

[5] Mikhailichenko G. G., Polimetricheskie geometrii, izd. Novosib. gos. un-ta, Novosibirsk, 2001