[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2018.58.4.789

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)

Publication Information

Kyungpook Mathematical Journal / v.58, no.4, 2018 , pp. 789-799 More about this Journal

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.

Keywords

Vaisman-Gray manifold; holomorphic sectional tensor; conharmonic tensor;

Citations & Related Records

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