Communications of the Korean Mathematical Society (대한수학회논문집)

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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)
  • Received : 2020.03.14
  • Accepted : 2020.06.26
  • Published : 2020.10.31
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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.

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References

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