Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection
Mohammad Nazrul Islam Khan, Fatemah Mofarreh, Abdul Haseeb
Abstract
The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM. Certain results on a semisymmetric P-Sasakian manifold, generalized recurrent P-Sasakian manifolds, and pseudo-symmetric P-Sasakian manifolds on TM are proved.
Topics & Concepts
Tangent bundleMetric connectionMathematicsConnection (principal bundle)Mathematical analysisPure mathematicsManifold (fluid mechanics)Ricci curvatureMetric (unit)TangentRiemann curvature tensorCurvatureTopology (electrical circuits)CombinatoricsGeometryFundamental theorem of Riemannian geometryTangent spaceEconomicsOperations managementEngineeringMechanical engineeringGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research