Concurrent Vector Fields on Lightlike Hypersurfaces
Erol Kılıç, Mehmet Gülbahar, Ecem Kavuk
Abstract
Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike hypersurfaces. Furthermore, Ricci soliton lightlike hypersurfaces admitting concurrent vector fields are studied and some characterizations for this frame of hypersurfaces are obtained.
Topics & Concepts
Vector fieldFrame (networking)Totally geodesicPure mathematicsGeodesicManifold (fluid mechanics)Killing vector fieldMathematical analysisMathematicsPhysicsComputer scienceGeometryEngineeringMechanical engineeringTelecommunicationsGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds