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Impact of φ-M-projective curvature tensor in a space-time
International Journal of Geometric Methods in Modern PhysicsThis 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
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On the Riemannian Curvature Tensor of a Real Hypersurface in a Complex Projective Space
Mathematische Nachrichten, 2016We 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
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\(K\)-contact and Sasakian manifold with conservative projective curvature tensor
2012The 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, 2023Ali Khalaf Ali, A. A. Shihab
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The projective quarter symmetric metric connections and reccurent projective curvature tensor
2009In 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
2010The 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, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Lorentzian Sasakian-Space-Forms With M-Projective Curvature Tensor
Mathematics, 2022Prakasha D G +2 more
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Classification of space-time curvature tensor III
Rendiconti del Circolo Matematico di Palermo, 1964Hlavaty, V., Mishra, R. S.
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