Certain Results on the Lifts from an LP-Sasakian Manifold to Its Tangent Bundle Associated with a Quarter-Symmetric Metric Connection
Mohammad Nazrul Islam Khan, Fatemah Mofarreh, Abdul Haseeb, Mohit Raj Saxena
Abstract
The purpose of this study is to examine the complete lifts from the symmetric and concircular symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly, (LPS)n) to its tangent bundle TM associated with a Riemannian connection DC and a quarter-symmetric metric connection (QSMC) D¯C.
Topics & Concepts
Tangent bundleMetric connectionConnection (principal bundle)MathematicsMetric (unit)Levi-Civita connectionParallelizable manifoldManifold (fluid mechanics)TangentFundamental theorem of Riemannian geometryPure mathematicsUnit tangent bundleQuarter (Canadian coin)Mathematical analysisTopology (electrical circuits)GeometryCombinatoricsTangent spaceScalar curvatureEngineeringHistoryMechanical engineeringCurvatureOperations managementArchaeologyAdvanced Differential Geometry ResearchGeometric Analysis and Curvature FlowsGeometry and complex manifolds