GEODESIC MAPPINGS OF COMPACT QUASI-EINSTEIN SPACES WITH CONSTANT SCALAR CURVATURE
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2020
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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 geodeticmappingsforthesespaces.Thestudiesareconductedlocallyintensorform,withoutrestrictionsonthesignandsignature of the metric tensor.
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Savchenko, A. Geodesic mappings of compact quasi-Einstein spaces with constant scalar curvature / V. Kiosak, A. Savchenko, A. Kamienieva // American Institute of Physics Conference Proceedings. – 2020. – V. 2302. – Is. 1. – AIP Conference Proceedings 2302, 040002 (2020) – P. 040002-1– 040002-7. doi.org/10.1063/5.0033661.