Curvature inheritance symmetry in Riemannian spaces with applications to string cloud and string fluids

We study, in this paper, curvature inheritance symmetry (CI), pound xi R-bcd(a) = 2 alpha R-bcd(a), where a is a scalar function, for string cloud and string fluid in the context of general relativity. Also, we have obtained some result when a proper CI (i.e., alpha not equal 0) is also a conformal Killing vector.