Curvature Inheritance Symmetry of C_9-manifolds
Abstract
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
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