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

摘要

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