On $N(k)$-contact metric manifolds admitting conharmonic curvature tensor

Abstract

In this paper, we study $N(k)$-contact metric manifolds with conharmonic curvature tensor. Here, we discuss conharmonically pseudo-symmetric, conharmonically semi-symmetric $N(k)$-contact metric manifolds. Also, we study $N(k)$-contact metric manifolds satisfying $C\cdot R=0$ and $C\cdot S=0$, where $C, R$ and $S$, respectively, denote conharmonic curvature tensor, Riemannian curvature tensor, and Ricci tensor.