N Generalized Conharmonic Curvature Tensor Of The Locally Conformal Kahler Manifold
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Abstract
In this research, the geometrical properties of one of the almost Hermation manifold classes have been studied. In particular, we study generalized conharmonic curvature tensor ( GC curvature tensor) in some aspects Hermeation manifold ( in particular Of the Locally Conformal Kahler manifold (LCK- manifold) .The main results of this study are stated below:-
1) Proved that this tensor possesses the classical symmetry properties of the Riemannian curvature .
2) Computing components of generalized conharmonic curvature tensor ( GC curvature tensor) in LCK- manifold .
3) Got some results and establish relationships between the components of the tensor in this manifold.
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