DSpace Arşivi :: by Yazar "Perkta, Selcen Yuksel" değerine göre listeleniyor

Listeleniyor 1 - 1 / 1

Sequential warped product manifolds with a semi-symmetric metric connection
(Univ Nis, Fac Sci Math, 2023) Zeren, Semra; Perkta, Selcen Yuksel; Yildiz, Ahmet
In 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.