Geometry of concircular curvature tensor of Nearly Kahler manifold

Abstract

In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found.  And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical sense of the reference (manipulation) in zero of these invariants are studied.

Let M - smooth manifold of dimension 2n;  - algebra of smooth functions on M;  - the module of smooth vector fields on manifold of M; g = <·, > - Riemannian metrics; Ñ – Riemannian connection of the metrics g on M; d - the operator of exterior differentiation. In the  further all manifold, Tensor fields, etc. objects are assumed smooth a class .