Geodesic
On Kenmotsu metric spaces satisfying some conditions on the w 1 - curvature tensor
Filomat, Tome 36 (2022) no. 5, p. 1603

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DOI

In this paper we present the curvature tensors of Kenmotsu manifold satisfying the conditions W 1 (X, Y) · W 0 = 0, W 1 (X, Y) · W 1 = 0, W 1 (X, Y) · W 2 = 0, W 1 (X, Y) · W 3 = 0, W 1 (X, Y) · W 4 = 0 and W 1 (X, Y) · W ⋆ 1 = 0. According to these cases, Kenmotsu manifolds have been characterized. We consider that some interesting results on a Kenmotsu metric manifold are obtained.
DOI : 10.2298/FIL2205603U
Classification : 53C25, 53C35
Keywords: Kenmotsu manifold, η-Einstein manifold, Einstein manifold, Riemannian curvature tensor 
Pakize Uygun; Mehmet Atçeken; Suleyman Dirik. On Kenmotsu metric spaces satisfying some conditions on the w 1 - curvature tensor. Filomat, Tome 36 (2022) no. 5, p. 1603 . doi: 10.2298/FIL2205603U
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     author = {Pakize Uygun and Mehmet At\c{c}eken and Suleyman Dirik},
     title = {On {Kenmotsu} metric spaces satisfying some conditions on the w 1 - curvature tensor},
     journal = {Filomat},
     pages = {1603 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205603U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205603U/}
}
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