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

G. Ingalahalli; C.S. Bagewadi

doi:10.15330/cmp.6.2.203-211

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

Authors

G. Ingalahalli Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India
C.S. Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India

https://doi.org/10.15330/cmp.6.2.203-211

Keywords:

contact metric manifold, symmetric, recurrent

Published online: 2014-12-25

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.