ξ(Ric)-Vector Fields on Sequential Warped Product Manifolds

In this paper, we study ξ(Ric)-vector fields on sequential warped products. Assuming that a vector field is a ξ(Ric)-vector field on the sequential product, we investigate the necessary conditions under which its components are also ξ(Ric)-vector fields on the factor manifolds. We also examine the conditions in which a vector field on a sequential warped product could be a ξ(Ric)-vector field. Furthermore, we examine ξ(Ric)-vector fields on a sequential warped space-times.