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.

Voir la notice de l'article 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 $A_n$. 
@article{CMFD_2019_65_1_a0,
     author = {A. Artikbaev and S. S. Saitova},
     title = {Interpretation of geometry on manifolds as a geometry in a space with projective metric},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {1--10},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a0/}
}
TY  - JOUR
AU  - A. Artikbaev
AU  - S. S. Saitova
TI  - Interpretation of geometry on manifolds as a geometry in a space with projective metric
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2019
SP  - 1
EP  - 10
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a0/
LA  - ru
ID  - CMFD_2019_65_1_a0
ER  - 
%0 Journal Article
%A A. Artikbaev
%A S. S. Saitova
%T Interpretation of geometry on manifolds as a geometry in a space with projective metric
%J Contemporary Mathematics. Fundamental Directions
%D 2019
%P 1-10
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a0/
%G ru
%F CMFD_2019_65_1_a0
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/

[1] A. Artykbaev, “Restoration of convex surfaces by outer curvature in the Galilei space”, Math. Digest, 19:2 (1982), 204–224 (in Russian) | MR

[2] L. A. Masal'tsev, “Nil-manifolds cannot be immersed as hypersurfaces in Euclidean spaces”, Math. Notes, 76:6 (2004), 868–873 (in Russian) | DOI | MR | Zbl

[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