Normal complex contact metric manifolds admitting a semi symmetric metric connection
Aysel Turgut Vanlı, İ̇nan Ünal, Dilek Özdemir
Abstract
Abstract In this paper, we study on normal complex contact metric manifold admitting a semi symmetric metric connection. We obtain curvature properties of a normal complex contact metric manifold admitting a semi symmetric metric connection. We also prove that this type of manifold is not conformal flat, concircular flat, and conharmonic flat. Finally, we examine complex Heisenberg group with the semi symmetric metric connection.
Topics & Concepts
Connection (principal bundle)Metric (unit)MathematicsManifold (fluid mechanics)Metric connectionStatistical manifoldPure mathematicsCurvatureLevi-Civita connectionFisher information metricFundamental theorem of Riemannian geometryMathematical analysisTopology (electrical circuits)Injective metric spaceGeometryCombinatoricsMetric spaceInformation geometryScalar curvatureOperations managementEngineeringEconomicsMechanical engineeringGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research