On Kenmotsu manifolds admitting η-Ricci-Yamabe solitons
Halil İbrahim Yoldaş
Abstract
The objective of this paper is to deal with Kenmotsu manifolds admitting [Formula: see text]-Ricci-Yamabe solitons. First, it is proved that if a Kenmotsu manifold [Formula: see text] which admits an [Formula: see text]-Ricci-Yamabe soliton, then the manifold [Formula: see text] is Einstein and is of constant scalar curvature. Then, some important characterizations, which classify Kenmotsu manifolds admitting such solitons, are obtained and an example given which supports our results.
Topics & Concepts
Scalar curvatureManifold (fluid mechanics)Yamabe flowMathematicsRicci-flat manifoldCurvature of Riemannian manifoldsRicci curvatureEinsteinPure mathematicsMathematical physicsEinstein manifoldSolitonCurvatureMathematical analysisPhysicsSectional curvatureGeometryNonlinear systemQuantum mechanicsMechanical engineeringEngineeringGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research