Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold
Amalendu Ghosh
Abstract
Abstract In this paper, we study Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. First, we prove that if a Kenmotsu metric is a Yamabe soliton, then it has constant scalar curvature. Examples has been provided on a larger class of almost Kenmotsu manifolds, known as β -Kenmotsu manifold. Next, we study quasi Yamabe soliton on a complete Kenmotsu manifold M and proved that it has warped product structure with constant scalar curvature in a region Σ where ∣ Df ∣ ≠ 0.
Topics & Concepts
Yamabe flowScalar curvatureMathematicsManifold (fluid mechanics)SolitonCurvatureMetric (unit)Mathematical analysisScalar (mathematics)Constant (computer programming)Pure mathematicsMathematical physicsSectional curvaturePhysicsGeometryNonlinear systemComputer scienceQuantum mechanicsMechanical engineeringEngineeringEconomicsProgramming languageOperations managementGeometric Analysis and Curvature FlowsGeometry and complex manifoldsGeometric and Algebraic Topology