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Impact of φ-M-projective curvature tensor in a space-time

International Journal of Geometric Methods in Modern Physics
This paper focuses on the [Formula: see text]-projective curvature (MPC) tensor, an extension of the MPC tensor and scrutinizes this tensor in space-times. The classification of space-times is stated by considering the cases of this tensor being flat, symmetric and pseudo-[Formula: see text]-projective symmetric.
Uday Chand De, Hülya Bağdatli Yılmaz
openaire   +2 more sources

On the Riemannian Curvature Tensor of a Real Hypersurface in a Complex Projective Space

Mathematische Nachrichten, 2016
We consider real hypersurfaces M in complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections and classify them when the covariant derivatives associated with both connections, either in the direction of the structure vector field or any direction of the maximal holomorphic distribution, coincide when ...
Juan de Dios Perez
exaly   +2 more sources

\(K\)-contact and Sasakian manifold with conservative projective curvature tensor

2012
The authors deal with contact manifolds whose projective curvature tensor \(P\) is conservative, i.e. \(\text{div} P = 0\). They show that if \(M_{2n + 1} (\varphi, \xi, \eta, g)\) is a \(K\)-contact Riemannian manifold then it is Einstein and \(P (\xi, X) \xi = 0\) for every \(X\), and if \(M_{2n + 1} (\varphi, \xi, \eta, g)\) is a Sasakian manifold ...
DE, U., GHOSH, J.
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W-projective curvature tensor of nearly kahler manifold

AIP Conference Proceedings, 2023
Ali Khalaf Ali, A. A. Shihab
openaire   +1 more source

The projective quarter symmetric metric connections and reccurent projective curvature tensor

2009
In 1970, Yano, studied Riemannian manifolds admitting semi-symetric metric connections whose curvature tensors vanish. In 1980, Misra and Pardey , studied quarter symmetric metric connections in Riemannian, Kaehlerian and Sasakian manifolds and found some properties of curvature tensors of them.
Bağdatlı Yılmaz, Hülya, Uysal, Aynur
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On the Weyl projective curvature tensor of an \(N(k)\)-contact metric manifold

2010
The authors classify \(N(k)\)-contact metric manifolds which satisfy the conditions: \[ P(\zeta,X). R=0,\;R(\zeta,X). P=0,\;P(\zeta,X). S=0,\;P(\zeta,X). P=0,\;P(\zeta,X). Z=0, \] where \(P\) is the Weyl projective curvature tensor, \(Z\) is the concircular curvature tensor, \(R\) is the Riemannian- Christoffel curvature tensor and \(S\) is the Ricci ...
MURATHAN, CENGİZHAN   +3 more
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On concircular and projective curvature tensors of a certain Weyl-Otsuki space of the second kind

Zbornik radova Prirodno-matematičkog fakulteta u Novom Sadu, serija Matematika, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Lorentzian Sasakian-Space-Forms With M-Projective Curvature Tensor

Mathematics, 2022
Prakasha D G   +2 more
exaly  

Classification of space-time curvature tensor III

Rendiconti del Circolo Matematico di Palermo, 1964
Hlavaty, V., Mishra, R. S.
openaire   +1 more source

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