Affiliation:
1. Department of Mathematics, Faculty of Education, Inonu University, Malatya, Turkiye
2. Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkiye
Abstract
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.
Publisher
National Library of Serbia
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