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Research Article Open access CC BY 4.0

Geometry of Projective Tensor of Viasman-Gray Manifold

Habeeb M. Abood, Hadeel G. Abd Ali

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 27 Feb 2016

10.9734/BJMCS/2016/23358

Abstract

In this paper, the Vaisman-Gray manifolds with flat projective curvature tensor are investigated. It is shown that which conditions are necessary for a Vaisman-Gray manifold with flat projective curvature tensor is a nearly Kaehler (NK) manifold, a locally conformal Kahler (LCK) manifold and an Einstein manifold. Finally, The relation between certain two special classes of almost Hermitian manifold with respect to the projective tensor has been studied.

Almost Hermitian manifold Viasman-Gray manifold projective tensor

Cited by 1

Generalized projective curvature tensor of nearly cosymplectic manifold

Habeeb Abood, Nawaf Mohammed · Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics · 2020

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