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

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 con...

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Bibliographic Details
Main Authors: V. A. Kiosak, G. V. Kovalova
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2020-06-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/13
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Summary: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.
ISSN:1027-4634
2411-0620