Disintegration of H-Projective Curvature Tensor in a Kaehlerian Recurrent Spaces
Arya Bhatta Journal of Mathematics and Informatics, 2023Negi (2018), have calculated geometrical interpretation of an analytic HP-transformations in almost Kaehlerian spaces. Also, Negi and Chauhan (2022), studied tensor structures and recurrent z-forms in Riemannian manifolds. In this paper, we have considered disintegration of recurrent and H-Projective curvature tensor in a Kaehlerian recurrent spaces of
U.S. Negi +3 more
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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 M-projective curvature tensor of Lorentzian β-Kenmotsu manifold
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer ScienceIn this paper, we explore the characteristics of Lorentzian β - Kenmotsu manifolds admitting M - projective curvature tensor. We demonstrate that M - projectively flat and irrotational M - projective curvature tensor of Lorentzian β - Kenmotsu manifolds are locally isometric to hyperbolic space Hn(c), where c = −β2.
Mishra, Anand Kumar +3 more
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\(M\)-projective curvature tensor over cosymplectic manifolds
2019Summary: In this paper, properties of the \(\alpha\)-cosymplectic manifolds with \(M\)-projective curvature tensor are studied. We obtain some connections between different curvature tensors.
Ayar, Gülhan, Chaubey, S. K.
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Some Curvature Conditions Provided by the Projective Curvature Tensor on the Almost C(?)-Manifold
In this article, the projective curvature tensor on a C (?)-manifold is discussed. Some special curvature conditions provided by the projective curvature tensor on the Riemann, Ricci, concircular curvature tensors have been investigated. As a result of the curvature conditions given with the projective curvature tensor on a C (?)-manifold, cases such ...Mert, Tuğba +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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Generalized Lorentzian Sasakian-Space-Forms with M-Projective Curvature Tensor
Mathematics, 2022Prakasha D G +2 more
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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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Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times
SUT Journal of Mathematics, 2021Arindam Bhattacharyya +2 more
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On generalized projective P-curvature tensor
Journal of Geometry and Physics, 2021Abdallah Syied +2 more
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