Geodesic
Interpretation of geometry on manifolds as a geometry in a space with projective metric
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 1-10 
A. Artikbaev; S. S. Saitova. Interpretation of geometry on manifolds as a geometry in a space with projective metric. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 1-10. http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper, we give essential concepts of geometry of three-dimensional spaces in vector formulation in an affine-vector space $A_n$.

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[3] B. A. Rozenfel'd, Non-Euclidean Spaces, Nauka, M., 1969 (in Russian)

[4] Scott P., “The geometries of 3-monifolds”, Bull. Lond. Math. Soc., 15:5 (1983), 401–487 | DOI | MR | Zbl