LP‐Kenmotsu Manifolds Admitting <i>η</i>‐Ricci Solitons and Spacetime
Yanlin Li, Abdul Haseeb, Musavvir Ali
Abstract
In the present paper, LP‐Kenmotsu manifolds admitting η ‐Ricci solitons have been studied. Moreover, some results for η ‐Ricci solitons in LP‐Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of η ‐Ricci solitons in a 5‐dimensional LP‐Kenmotsu manifold.
Topics & Concepts
MathematicsManifold (fluid mechanics)SpacetimeGeneral relativityRicci-flat manifoldPure mathematicsMathematical physicsPhysicsGeometryScalar curvatureCurvatureEngineeringMechanical engineeringQuantum mechanicsGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research