Zeren, SemraPerkta, Selcen YukselYildiz, Ahmet2024-08-042024-08-0420230354-5180https://doi.org/10.2298/FIL2310241Zhttps://hdl.handle.net/11616/101212In the present paper, we study a new generalization of warped product manifolds, called sequential warped product manifolds, with respect to a semi-symmetric metric connection. We obtain relations for covariant derivatives, Riemannian curvature, Ricci curvature and scalar curvature of the sequential warped product manifolds with respect to the semi-symmetric connection, respectively, and demonstrate the relationship between them and curvatures with respect to the Levi-Civita connection. Also, we consider sequential warped product space-time models, namely sequential generalized Robertson -Walker space-times and sequential standard static space-times, with semi-symmetric metric connections and obtain conditions for such space-times to be Einstein.eninfo:eu-repo/semantics/openAccessWarped product manifoldSequential warped product manifoldsemi-symmetric metric connectionspace-timesEinstein manifoldsArticle37103241326010.2298/FIL2310241Z2-s2.0-85149728555Q3WOS:000937469600019Q2