Lorentzian Para-Sasakian Manifolds and *-Ricci Solitons
Abdul Haseeb, Sudhakar Kumar Chaubey
Abstract
We study the properties of Lorentzian para-Sasakian manifolds endowed with ∗-Ricci solitons and gradient ∗-Ricci solitons. Finally, the existence of ∗-Ricci soliton on a 4-dimensional Lorentzian para-Sasakian manifold is proved by constructing a non-trivial example
Topics & Concepts
SolitonManifold (fluid mechanics)MathematicsPure mathematicsRicci-flat manifoldMathematical analysisMathematical physicsPhysicsGeometryScalar curvatureNonlinear systemQuantum mechanicsEngineeringCurvatureMechanical engineeringGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research