The Concircular Curvature Tensor of Viasman- Grey Manifold
DOI:
https://doi.org/10.61841/886nf528Keywords:
concircular curvature tensor,, Viasman-Grey Manifold, Riemannian curvatureAbstract
This paper deals with calculation of components concircular curvature tensor in some aspects of Hermitian manifold especially in ????????????????????????????-Grey Manifold. The study also shows that this tensor possesses the classical1symmetry properties of1the Riemannian curvature. Furthermore, relationships between the components of the tensor in this manifold of Viasman-Grey manifold have been established.
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[1] Shihab AA. Shihab, Abd AA 2020OnViasman-gray manifold with Generalized conharmonic curvature tensor
Tikrit Journal of Pure Sciences24(7):117-121.
[2] Jasim TH, Shihab AA, Zabin RA 2015 Geometry of Concircular curvature tensor of Nearly Kahler manifold,
Tikrit Journal of Pure Sciences20(4):137-141.
[3] Banaru M2001 A new characterization of the Gray-Hervalla classes of almost Hermitioan manifold. 8th International conference on differential geometry and its applications,Opava-Czech Republic. 27-31.
[4] Banaru M1993 Hermitian geometry of six-dimensional submanifold of cayley's algebra. ph. D. thesis,
Moscow state pedagogical university, Moscow
[5] Gray A and Hervella LM1980Sixteen classes of almost Hermitian manifold and their linear invariantsAnn. Math. Pure and Appl.123(3):35-58.
[6] Kravchenko VF 2003Differential geometrical structure on smooth manifolds.Moscow state Pedagogical University, Moscow.
[7] Kirichencko VF and Shipk NN1994 On Geometry of Vaisman-Grey manifold.YMN. 49(2).
[8] Meleva p 2003Locally conformal Kahler Manifold of constant type and J-invariant Curvature tensor Facta Universities, SeriesMechanacs , Automatic control and Robotics3(14): 791-804.
[9] Rachevski PK1955Riemmanian geometry and tensor analysis ,Uspekhi Mat. Nauk10 4(66): 219-222.
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