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. 
@article{SJIM_2010_13_4_a3,
     author = {V. A. Kyrov},
     title = {Functional equations in {pseudo-Euclidean} geometry},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {38--51},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_4_a3/}
}
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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/