Normal complex contact metric manifolds admitting a semi symmetric metric connection

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.

Keywords

• normal complex contact metric manifold
• semi symmetric metric connection
• curvature tensors
• complex heisenberg group
• 53c15
• 53c25
• 53d10