Mathematica Eterna
Open Access

Abstract

τ -curvature tensor in (k, µ)-contact manifolds

H G Nagaraja and Somashekhara G

In this paper we study τ -curvature tensor in (k, µ) manifold. We study τ -flat and a ξ-τ - flat (k, µ)-contact metric manifolds and we obtain conditions for τ -flat (k, µ)-contact metric manifold to be φ-symmetric. We consider φ−τ -symmetric and φ−τ - Ricci recurrent (k, µ)-contact metric manifolds and (k, µ)-contact metric manifolds satisfying semi-symmetry condition τ.S = 0.