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Impact of pseudo projective curvature tensor on a space-time and $f(r,G)$-gravity
International Journal of Geometric Methods in Modern Physics (IJGMMP)In this article, we classify pseudo projectively flat space-times and acquire that it represents either an anti- de-Sitter or de-Sitter space-time. Furthermore, we obtain that a pseudo projectively flat perfect fluid space-time represents dark matter era
K. De, U. De, S. Azami
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A Study on Projective Curvature Tensor in Trans-Sasakian Manifolds
2016In this paper we show that trans-Sasakian manifolds satisfying the conditions R(X, Y ) · S = 0, P (ξ, X) · S = 0 are Einstein manifold.
Manjunath, S. N. +2 more
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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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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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Study on a Class of P-Kenmotsu Manifolds Admitting Weyl-projective Curvature Tensor of Type (1, 3)
Recent Advances in Mathematical Research and Computer Science Vol. 1, 2021K. L. Sai Prasad +2 more
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On generalized projective -curvature tensor
Journal of Geometry and Physics, 2021Abdallah Syied +2 more
exaly
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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Classification of space-time curvature tensor III
Rendiconti del Circolo Matematico di Palermo, 1964Hlavaty, V., Mishra, R. S.
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Quasi-Projective Curvature Tensor in Space-Time and f(R)-Gravity
International Journal of Theoretical PhysicsU. De +4 more
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