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http://dx.doi.org/10.4134/CKMS.c200091

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

De, Uday Chand (Department of Pure Mathematics University of Calcutta)
Sardar, Arpan (Department of Mathematics University of Kalyani)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1245-1254 More about this Journal
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.
Keywords
$(k,{\mu})$-almost co-$K{\ddot{a}}hler$ manifold; Bach tensor; Bach flat tensor; divergence free Cotton tensor;
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