Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature

V. A. Kiosak; G. V.  Kovalova

doi:10.30970/ms.53.2.212-217

V. A. Kiosak Institute of Engineering Odesa State Academy of Civil Engineering and Architecture, Ukraine
G. V. Kovalova Institute of Engineering Odesa State Academy of Civil Engineering and Architecture, Ukraine

DOI: https://doi.org/10.30970/ms.53.2.212-217

Keywords: pseudo-Riemannian spaces; quasi-Einstein spaces; geodesic mapping

Abstract

In this paper we study a special type of pseudo-Riemannian spaces - quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces. We obtained a linear form of the basic equations of the theory of geodetic mappings for these spaces. The studies are conducted locally in tensor form, without restrictions on the sign and signature of the metric tensor.

Author Biographies

V. A. Kiosak, Institute of Engineering Odesa State Academy of Civil Engineering and Architecture, Ukraine

Institute of Engineering Odesa State Academy of Civil Engineering and Architecture, Ukraine

G. V. Kovalova, Institute of Engineering Odesa State Academy of Civil Engineering and Architecture, Ukraine

Institute of Engineering Odesa State Academy of Civil Engineering and Architecture, Ukraine

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