Geodesic mappings of compact quasi-Einstein spaces, II
Volodymyr Kiosak, A. Savchenko, O. Latysh
Abstract
The paper treats geodesic mappings of quasi-Einstein spaces with gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of special type. It is demonstrated that quasi-Einstein spaces of main type are closed with respect to geodesic mappings. The spaces of particular type are proved to be geodesic $D$-symmetric spaces.
Topics & Concepts
GeodesicEinsteinPure mathematicsMathematicsType (biology)Geodesic mapMathematical analysisMathematical physicsEcologyBiologyGeometric Analysis and Curvature FlowsBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research