• Title/Summary/Keyword: divergence free Cotton tensor

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

  • De, Uday Chand;Sardar, Arpan
    • Communications of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.1245-1254
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    • 2020
  • 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.