Sequential warped product manifoldswitha semi-symmetricmetric connection

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

FILOMAT, cilt.37, sa.10, ss.3241-3260, 2023 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 37 Sayı: 10
• Basım Tarihi: 2023
• Doi Numarası: 10.2298/fil2310241z
• Dergi Adı: FILOMAT
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
• Sayfa Sayıları: ss.3241-3260
• İnönü Üniversitesi Adresli: Evet

Özet

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.