CLASSIFICATION OF (k, 𝜇)-ALMOST CO-KÄHLER MANIFOLDS WITH VANISHING BACH TENSOR AND DIVERGENCE FREE COTTON TENSOR

Abstract

The object of the present paper is to characterize Bach flat (k, μ)-almost co-Kähler manifolds. It is proved that a Bach flat (k, μ)almost co-Kähler manifold is K-almost co-Kähler manifold under certain restriction on μ and k. We also characterize (k, μ)-almost co-Kähler manifolds with divergence free Cotton tensor.