Class Nearly kahler Manifold of W – Projective Curvature Tensor

Main Article Content

Ali Khalaf Ali
A. A.Shihab

Abstract

The current study deals with new three classes of the  manifold of w – projective curvature tensor. The aim of this paper to calculate differential - geometrical and topological properties closest for new classes , and , through it ,an equivalence relationship was obtained between these classes and one of or more the tensor compounds and the components of curvature tensor and with adjoint G-structure space. Finally, we discover a relationship between ,  ,  with each other.

Article Details

How to Cite
Ali Khalaf Ali, & A. A.Shihab. (2023). Class Nearly kahler Manifold of W – Projective Curvature Tensor. Tikrit Journal of Pure Science, 28(2), 118–120. https://doi.org/10.25130/tjps.v28i2.1345
Section
Articles

References

[1] Gray A. (1976). ”Curvature Identities for Hermitian and Almost Hermitian Manifold “Tohoku Math .J.28, NO-4, 601-601.

[2] Gray A., Vanhecke L.(1979) .”Almost Hermitian Manifold with Constant Holomorphic Sectional curvature ", Cas.Pestov. Mat.Vol., NO-12,170-179.

[3] Gray A ,and Hervella L.M (1980)."Sixteen classes of almost Hermitian manifold and their linear invariants" Ann,Math .pure and Appl., Vol. 123, NO.3, 35-58

[4] Ali A. Shihab, Dhabiaʼa M. Ali (2018). “Generalized Conharmonic Curvature Tensor Of Nearly Kahler Manifold”. Tikrit J. Pure Science, V.23 (8).

[5] Kirichenko V.F.(2003). Differential Geometrical Structure on smooth manifolds. -M., MSPU,495