Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature
Volodymyr Kiosak, Galyna Kovalova
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.
Topics & Concepts
Scalar curvatureMathematicsGeodesicRiemann curvature tensorEinstein tensorConstant (computer programming)Ricci curvatureSign (mathematics)Pure mathematicsEinsteinCurvatureSignature (topology)Mathematical analysisMetric tensorSectional curvatureMathematical physicsGeometryComputer scienceProgramming languageCosmology and Gravitation TheoriesAdvanced Differential Geometry ResearchRelativity and Gravitational Theory