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

Abstract

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.

Keywords

• sequential warped product manifold
• generalized Robertson-Walker space-times
• standard static space-times.
• ξ(Ric) vector fields

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