Classification of $(k,\mu)$-almost co-K\"{a}hler manifolds with vanishing Bach tensor and divergence free Cotton tensor
Commun. Korean Math. Soc. 2020 Vol. 35, No. 4, 1245-1254
https://doi.org/10.4134/CKMS.c200091
Published online August 4, 2020
Printed October 31, 2020
Uday Chand De, Arpan Sardar
35, Ballygunge Circular Road; Kalyani 741235
Abstract : 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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