A Study on $\phi$-Symmetric $\tau$-curvature tensor in $N(k)$-contact metric manifold

Abstract

In this paper we study $\tau$-curvature tensor in $N(k)$-contact metric manifold. We study $\tau$-$\phi$-recurrent,$\tau$-$\phi$-symmetric and globally $\tau$-$\phi$-symmetric $N(k)$-contact metric manifold.

Keywords

• contact metric manifold
• symmetric
• recurrent