TANGENT BUNDLE ENDOWED WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION ON AN ALMOST HERMITIAN MANIFOLD
Mohammad Nazrul Islam Khan
Abstract
In this paper, we have studied the tangent bundle endowed with quarter-symmetric non-metric connection obtained by vertical and complete lifts of a quarter-symmetric non-metric connection on the base manifold and, also, proposed the study of the tangent bundle of an almost Hermitian manifold and an almost Kaehler manifold. Finally, we obtained some theorems for Nijenhuis tensor on the tangent bundle of an almost Hermitian manifold and an almost Kaehler manifold.\\
Topics & Concepts
Tangent bundleHermitian manifoldMetric connectionConnection (principal bundle)MathematicsManifold (fluid mechanics)Hermitian matrixUnit tangent bundlePure mathematicsLine bundleMetric (unit)Normal bundleMathematical analysisTangent spaceRicci curvatureFundamental theorem of Riemannian geometryGeometryVector bundleCurvatureEngineeringEconomicsMechanical engineeringOperations managementAdvanced Differential Geometry ResearchGeometry and complex manifoldsGeometric Analysis and Curvature Flows