Commun. Korean Math. Soc. 2020; 35(4): 1245-1254
Online first article August 4, 2020 Printed October 31, 2020
https://doi.org/10.4134/CKMS.c200091
Copyright © The Korean Mathematical Society.
Uday Chand De, Arpan Sardar
35, Ballygunge Circular Road; Kalyani 741235
The object of the present paper is to characterize Bach flat $(k,\mu)$-almost co-K\"{a}hler manifolds. It is proved that a Bach flat $(k,\mu)$-almost co-K\"{a}hler manifold is $K$-almost co-K\"{a}hler manifold under certain restriction on $\mu$ and $k$. We also characterize $(k,\mu)$-almost co-K\"{a}hler manifolds with divergence free Cotton tensor.
Keywords: $(k,\mu)$-almost co-K\"{a}hler manifold, Bach tensor, Bach flat tensor, divergence free Cotton tensor
MSC numbers: Primary 53C15, 53C25
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