The Conharmonic Curvature Tensor on $N(\kappa)$-Paracontact Metric Manifold

Abstract

The object of the paper is to study $N(k)$-paracontact metric manifolds satisfying certain curvature conditions on conharmonic curvature tensor. Specially, we study the symmetric properties of conharmonic curvature tensor on $N(k)$-paracontact metric manifolds such as conharmonically $\varphi$-symmetric, 3-dimensional locally conharmonically $\varphi$-symmetric $N(k)$-paracontact metric manifolds and $\varphi$-conharmonically semisymmetric $N(k)$-paracontact metric manifolds and get some new results.