$ \eta $-Ricci-Bourguignon solitons with a semi-symmetric metric and semi-symmetric non-metric connection
Yusuf Doğru
Abstract
<abstract><p>We consider a generalization of a Ricci soliton as $ \eta $-Ricci-Bourguignon solitons on a Riemannian manifold endowed with a semi-symmetric metric and semi-symmetric non-metric connection. We find some properties of $ \eta $-Ricci-Bourguignon soliton on Riemannian manifolds equipped with a semi-symmetric metric and semi-symmetric non-metric connection when the potential vector field is torse-forming with respect to a semi-symmetric metric and semi-symmetric non-metric connection.</p></abstract>
Topics & Concepts
Fundamental theorem of Riemannian geometryConnection (principal bundle)MathematicsMetric (unit)Levi-Civita connectionRiemannian manifoldMetric connectionRicci curvatureSolitonPure mathematicsMathematical analysisMathematical physicsPhysicsGeometryQuantum mechanicsNonlinear systemCurvatureOperations managementEconomicsGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds