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Structure of the Projective Group in A Pseudo-Riemannian Space

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Abstract

We study n-dimensional pseudo-Riemannian spaces Vn(gij) 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.

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Authors and Affiliations

  1. Kazan State Power Engineering University, Kazan, Russia

    Z. Kh. Zakirova

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  1. Z. Kh. Zakirova
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Correspondence to Z. Kh. Zakirova.

Additional information

This research was supported by the Russian Foundation for Basic Research (Grant No. 16-01-00291_a).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 196, No. 1, pp. 30–41, July, 2018.

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Zakirova, Z.K. Structure of the Projective Group in A Pseudo-Riemannian Space. Theor Math Phys 196, 965–975 (2018). https://doi.org/10.1134/S0040577918070036

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