Hyperbolic Ricci solitons on sequential warped product manifolds
Kay Açıkgöz, Cıhan Özgür
Abstract
We study hyperbolic Ricci solitons on sequential warped products. The necessary conditions are obtained for a hyperbolic Ricci soliton with the structure of a sequential warped product to be an Einstein manifold when we consider the potential field as a Killing or a conformal vector field. Some physical applications are also given.
Topics & Concepts
MathematicsConformal mapEinsteinManifold (fluid mechanics)Product (mathematics)SolitonField (mathematics)Pure mathematicsVector fieldEinstein manifoldMathematical analysisRicci flowRicci curvatureMathematical physicsGeometryPhysicsCurvatureQuantum mechanicsNonlinear systemEngineeringMechanical engineeringGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research