EQUIVALENT STRUCTURES ON $N(\kappa)$ MANIFOLD ADMITTING GENERALIZED TANAKA WEBSTER CONNECTION

The main objective of the present paper is to study the equivalence of semi-symmetric and pseudo-symmetric conditions imposing on different curvature tensors in $N(\kappa)$ manifolds admitting generalized Tanaka Webster ($\tilde{\nabla}$) connection. Classification is done according as expression of Ricci tensor and scalar curvature with respect to $\tilde{\nabla}$ . Finally an example is given.