Geodesic
Geometrical and physical properties of W 2 -symmetric and -recurrent manifolds
Filomat, Tome 36 (2022) no. 4, p. 1195

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DOI

The authors discuss mainly that the Riemannian manifold M n admitting a unit preserving circle field ξ in the present paper. A sufficient and necessary condition is given that Riemannian manifold M n is an Einstein manifold by imposing some conditions on W 2 curvature tensor. Further, this paper obtains the algebra representation of curvature tensors of a W 2-recurrent Riemannian manifold M n given by R αβγδ = 1 d 2 [d β d γ R αδ − d β d δ R αγ + d α d δ R βγ − d α d γ R βδ ]
DOI : 10.2298/FIL2204195Z
Classification : 53C25, 53A30, 57N16
Keywords: W2-symmetric space, W2-recurrent space, Einstein space, Hypersurfaces, Concircular vector fields 
Di Zhao; Talyun Ho. Geometrical and physical properties of W 2 -symmetric and -recurrent manifolds. Filomat, Tome 36 (2022) no. 4, p. 1195 . doi: 10.2298/FIL2204195Z
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     author = {Di Zhao and Talyun Ho},
     title = {Geometrical and physical properties of {W} 2 -symmetric and -recurrent manifolds},
     journal = {Filomat},
     pages = {1195 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204195Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204195Z/}
}
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