M Projective Curvature Tensor of Nearly Kahler Manifold

Ali Khalaf Ali; A. A. Shihab; Dr.prof .Ali Abdul Al Majeed

Authors

Ali Khalaf Ali Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq- University of Tikrit , Iraq Salahaddin
A. A. Shihab Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq- University of Tikrit , Iraq Salahaddin
Dr.prof .Ali Abdul Al Majeed

Keywords:

Projective Tensor, Nearly kahler manifold

Abstract

The geometrical characteristics of one of the NK (′′ Nearly Kahler ′′)manifold structures are provided by M, where M represents for the Nearly kahler manifold, and the MProjective Curvature Tensor In this work, we study the properties of a virtually kahler manifold. Important findings of the study include the following: - It was shown that this tensor had the standard properties of Riemannian curvature symmetry. Projective tensor (M- tensor) components to be calculated for the NK manifold. Links between this manifold's tensor components were created after certain observations were made