Geodesic
Sequential warped product manifolds with a semi-symmetric metric connection
Filomat, Tome 37 (2023) no. 10, p. 3241

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DOI

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.
DOI : 10.2298/FIL2310241Z
Classification : 53C21, 53C25, 53B05, 53B20
Keywords: Warped product manifold, Sequential warped product manifold, semi-symmetric metric connection, space-times, Einstein manifolds 
Semra Zeren; Selcen Yüksel Perktaş; Ahmet Yıldız. Sequential warped product manifolds with a semi-symmetric metric connection. Filomat, Tome 37 (2023) no. 10, p. 3241 . doi: 10.2298/FIL2310241Z
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     title = {Sequential warped product manifolds with a semi-symmetric metric connection},
     journal = {Filomat},
     pages = {3241 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310241Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310241Z/}
}
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