Sequential warped product manifoldswitha semi-symmetricmetric connection

Zeren S., Yüksel Perktaş S., Yıldız A.

FILOMAT, vol.37, no.10, pp.3241-3260, 2023 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 37 Issue: 10
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2310241z
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.3241-3260
  • Inonu University Affiliated: Yes

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,weconsidersequentialwarpedproductspace-timemodels,namelysequentialgeneralizedRobertsonWalker

space-times and sequential standard static space-times, with semi-symmetric metric connections

and obtain conditions for such space-times to beEinstein.