Geodesic
Structure of the~projective group in a~pseudo-Riemannian space
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 30-41

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We study $n$-dimensional pseudo-Riemannian spaces $V^n(g_{ij})$ with an arbitrary signature that admit projective motions, i.e., groups of continuous transformations preserving geodesics. In particular, we find the metric of a pseudo-Riemannian space of special type and establish important projective-group properties of this space.
Keywords: differential geometry, general relativity theory, pseudo-Riemannian manifold, systems of partial differential equations. 
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     author = {Z. Kh. Zakirova},
     title = {Structure of the~projective group in {a~pseudo-Riemannian} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {30--41},
     publisher = {mathdoc},
     volume = {196},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a2/}
}
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Z. Kh. Zakirova. Structure of the~projective group in a~pseudo-Riemannian space. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 1, pp. 30-41. http://geodesic.mathdoc.fr/item/TMF_2018_196_1_a2/