Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Vaisman-Gray Manifold of Pointwise Holomorphic Sectional Conharmonic Tensor

  • Abood, Habeeb Mtashar (Department of Mathematics, College of Education for Pure Sciences, University of Basrah) ;
  • Abdulameer, Yasir Ahmed (Department of Mathematics, College of Education for Pure Sciences, University of Basrah)
  • Received : 2017.10.29
  • Accepted : 2018.08.20
  • Published : 2018.12.23
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Abstract

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.

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References

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