Projective Curvature Tensor on N($kappa$)-Contact Metric Manifold Admitting Semi-Symmetric Non-Metric Connection

Abstract

The object of the present paper is to classify $N(kappa)$-contact metric manifolds admitting the semi-symmetric non-metric connection with certain curvature conditions the projectively curvature tensor. We studied projective flat, $xi- $projectively flat, $phi- $projectively flat $N(kappa )$-contact metric manifolds admitting the semi-symmetric non-metric connection. Also, we examine such manifolds under some local symmetry conditions related to projective curvature tensor.