The analytical method for embedding multidimensional

V. A. Kyrov

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 741-758.

Résumé

As is known, the geometry of the local maximum mobility is an $n$-dimensional pseudo-Euclidean geometry. In this paper, we find all the $(n+1)$-dimensional geometries of the local maximal mobility whose metric functions contain the metric function of pseudo-Euclidean geometry as an argument. Such geometries are: $(n+1)$-dimensional pseudo-Euclidean geometry, $(n+1)$-dimensional special extension of $n$-dimensional pseudo-Euclidean geometry, $(n+1)$-dimensional geometry of constant curvature on a pseudo sphere.

Détail

Keywords: pseudo-Euclidean geometry, functional equation, differential equation, metric function.

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