Classification of (k,μ)-almost co-Kahler manifolds with vanishing Bach tensor and divergence free Cotton tensor
Commun. Korean Math. Soc.
Published online August 4, 2020
Uday Chand De and Arpan Sardar
University of Calcutta, University of Kalyani
Abstract : The object of the present paper is to characterize Bach flat (k, μ)-almost co-Kahler manifolds. It is proved that a Bach flat (k, μ)-almost co-Kahler manifold is K-almost co-Kahler manifold under certain restriction on μ and k. We also characterize (k, μ)-almost co-Kahler manifolds with divergence free Cotton tensor.
Keywords : (k,μ)-almost co-Kahler manifold, Bach tensor, Bach flat tensor, Cotton tensor
MSC numbers : Primary 53C15, Secondary 53C25
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