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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 1, Pages 30–41
DOI: https://doi.org/10.4213/tmf9492 (Mi tmf9492) 		 
Structure of the projective group in a pseudo-Riemannian space

Z. Kh. Zakirova

Kazan State Power Engineering University, Russian Federation
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DOI: https://doi.org/10.4213/tmf9492
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00291_a
This research was supported by the Russian Foundation for Basic Research (Grant No. 16-01-00291_a).
Received: 17.10.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 1, Pages 965–975
DOI: https://doi.org/10.1134/S0040577918070036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Z. Kh. Zakirova, “Structure of the projective group in a pseudo-Riemannian space”, TMF, 196:1 (2018), 30–41; Theoret. and Math. Phys., 196:1 (2018), 965–975
Citation in format AMSBIB
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