Geodesic
Equivalence of paths in some non-euclidean geometry
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 40 (2022) no. 3, pp. 28-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $G$ be a subgroup of the group of all reversible linear transformations of a finitedimensional real space $R^n$. One of the problems of differential geometry is to find easily verifiable necessary and sufficient conditions that ensure that $G$ is the equivalence of paths lying in $R^n$. The article establishes the necessary and sufficient conditions for the equivalence of paths in some non-Euclidean geometry.
Keywords: pseugo-Galilean space, group of movements, regular path. 
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R. A. Gafforov; K. K. Muminov. Equivalence of paths in some non-euclidean geometry. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 40 (2022) no. 3, pp. 28-41. http://geodesic.mathdoc.fr/item/VKAM_2022_40_3_a2/

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