On the typology of quasi-Einstein spaces
Volodymyr Kiosak, A. Savchenko, Sergii Khniunin
Abstract
The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient defining vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these spaces that permit locally geodesic mappings. We studied some geometric properties of every type.
Topics & Concepts
GeodesicEinsteinGeneralizationTypologyPure mathematicsType (biology)MathematicsComputer scienceMathematical analysisMathematical physicsSociologyBiologyAnthropologyEcologyGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds