η-∗-Ricci Solitons and Almost co-Kähler Manifolds
Arpan Sardar, Mohammad Nazrul Islam Khan, Uday Chand De
Abstract
The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton introduced by Cho and Kimura. First, the expression of the ∗-Ricci tensor on ackm is obtained. Additionally, we classify the η-∗-Ricci solitons in (k,μ)-ackms. Next, we investigate (k,μ)-ackms admitting gradient η-∗-Ricci solitons. Finally, we construct two examples to illustrate our results.
Topics & Concepts
Manifold (fluid mechanics)SolitonMathematical physicsRicci flowPure mathematicsMathematicsRicci curvaturePhysicsMathematical analysisGeometryQuantum mechanicsNonlinear systemEngineeringCurvatureMechanical engineeringGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research