Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons
Abdul Haseeb, Mohd Bilal, Sudhakar Kumar Chaubey, Mohammad Nazrul Islam Khan
Abstract
In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an ϵ-Kenmotsu manifold, whose metric is a *η-Ricci-Yamabe soliton, to be an Einstein manifold are derived. Finally, we model an indefinite Kenmotsu manifold example of dimension 5 to examine the existence *η-Ricci-Yamabe solitons.
Topics & Concepts
Manifold (fluid mechanics)Yamabe flowEinstein manifoldEinsteinMetric (unit)MathematicsRicci-flat manifoldSolitonRicci curvatureCurvature of Riemannian manifoldsDimension (graph theory)Pure mathematicsMathematical analysisTopology (electrical circuits)Mathematical physicsPhysicsScalar curvatureGeometrySectional curvatureNonlinear systemCombinatoricsCurvatureQuantum mechanicsMechanical engineeringEngineeringEconomicsOperations managementGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research