• Title/Summary/Keyword: Vaisman-Gray manifold

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Vaisman-Gray Manifold of Pointwise Holomorphic Sectional Conharmonic Tensor

  • Abood, Habeeb Mtashar;Abdulameer, Yasir Ahmed
    • Kyungpook Mathematical Journal
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    • v.58 no.4
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    • pp.789-799
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    • 2018
  • The purpose of the present paper is to discuss the geometrical properties of the Vaisman-Gray manifold (VG-manifold) of a pointwise holomorphic sectional conharmonic tensor (PHT-tensor). Furthermore, the necessary and sufficient conditions required for the VG-manifold to admit such a PHT-tensor have been determined. In particular, under certain conditions, we have established that the aforementioned manifold was an Einstein manifold.