Ricci-Yamabe solitons and 3-dimensional Riemannian manifolds
Uday Chand De, Arpan Sardar, KRISHNENDU DE
Abstract
In this paper, we classify 3-dimensional Riemannian manifolds endowed with a special type of vector field if the Riemannian metrices are Ricci-Yamabe solitons and gradient Ricci-Yamabe solitons, respectively. Finally, we construct an example to illustrate our result.
Topics & Concepts
MathematicsYamabe flowCurvature of Riemannian manifoldsVector fieldRicci curvatureRicci-flat manifoldPure mathematicsMathematical physicsRiemannian geometryField (mathematics)Mathematical analysisScalar curvatureGeometrySectional curvatureCurvatureGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds