Curvature Inheritance Symmetry of C_9-manifolds

الملخص

This paper focused on Riemannian curvature tensor  of manifolds. The components of covariant derivative of  determined on the space of structure. There are fifteen non-zero of such components and the others components given by the symmetry property and Bianchi identity of . According to these components, the conditions on curvature tensor  of manifolds to be has inheritance symmetry established. These conditions summarized by five equations that have common arbitrary scalar function