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Projective curvature tensors of a Finsler space

Bulletin de la Classe des sciences, 1968
Sinha R. S. Projective curvature tensors of a Finsler space. In: Bulletin de la Classe des sciences, tome 54, 1968. pp. 272-279.
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ON M-PROJECTIVE CURVATURE TENSOR OF SASAKIAN MANIFOLDS ADMITTING ZAMKOVOY CONNECTION

, 2020
The purpose of the present paper is to study some properties of Sasakian manifold admitting Zamkovoy connection. We study M− Projectively flat, as well as φ−M−Projectively flat Sasakian manifolds admitting Zamkovoy connection.
A. Mandal, A. Das
semanticscholar   +1 more source

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
semanticscholar   +1 more source

A Study on Projective Curvature Tensor in Trans-Sasakian Manifolds

2016
In 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

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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Generalized Lorentzian Sasakian-Space-Forms with M-Projective Curvature Tensor

Mathematics, 2022
Prakasha D G   +2 more
exaly  

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
openaire   +2 more sources

On generalized projective P-curvature tensor

Journal of Geometry and Physics, 2021
Abdallah 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, 1985
zbMATH 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, 1964
Hlavaty, V., Mishra, R. S.
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