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M - Projective Curvature Tensor Equipped With an ϵ-Kenmotsu Manifold [PDF]

Journal of Applied Science and Education (JASE)
In this paper, we studied the properties of ϵ-Kenmotsu manifolds that posses an M -projective curvature tensor. We have shown that ϵ-Kenmotsu manifolds with an M -projectively flat and irrotational M -projective curvature tensor are locally isometric to the hyperbolic space Hn(c), where c = −ϵ2. Additionally, we have investigate the condition R(X, Y ) ·
N.V.C.Shukla, Mantasha
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On Z-Symmetric Manifold Admitting Projective Curvature Tensor

International Electronic Journal of Geometry, 2022
The object of the present paper is to study the Z-symmetric manifold with the projective curvature tensor. At first, we study the case of Z-tensor and projective Ricci tensor being of Codazzi type. Next, we consider recurrent Z-tensor and recurrent projective Ricci tensor.
Fusun Özen Zengin, Ayşe YAVUZ TAŞCI
exaly   +5 more sources

Pseudo-Projective Curvature Tensor on Warped Product Manifolds and Its Applications in Space-Times [PDF]

SUT Journal of Mathematics, 2021
In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some signicant results of the pseudo- projective curvature tensor on warped product manifolds in terms of its base and ber manifolds. Moreover, we derive
Arindam Bhattacharyya, Nandan Bhunia
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Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold

European Journal of Pure and Applied Mathematics, 2018
In the nearly cosymplectic manifold, dened a tensor of type (4,0), it's called a projective curvature tensor. In this article we discuss an interesting question; what the geometric meaning of this tensor when it's act on nearly cosymplectic manifold? The answer of this question leads to get an application on Einstein space. In particular, the necessary
Habeeb M Abood
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A spacetime with pseudo-projective curvature tensor

Journal of Mathematical Physics, 2016
The object of the present paper is to study spacetimes admitting pseudo-projective curvature tensor. At first we prove that a pseudo-projectively flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein’s field equation with cosmological constant is covariant constant. Next,
Mallick, Sahanous, Suh, Young Jin, De, Uday Chand   +2 more
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On Pseudo Projective Curvature Tensor of a Contact Metric Manifold

SUT Journal of Mathematics, 2007
C S Bagewadi, D G Prakasha
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A Study of the M-Projective Curvature Tensor in Generalized Recurrent and Birecurrent Finsler Spaces [PDF]

Journal of Science and Technology
This paper aims to examine the properties of the M-projective curvature tensor in the context of generalized Finsler spaces, specifically within the framework of a -space.
Fahmi Ahmed Mothana Al-Ssallal
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On generalized Sasakian-space-forms with M-projective curvature tensor

Advances in Pure and Applied Mathematics, 2018
AbstractThe object of the present paper is to study generalized Sasakian-space-forms satisfying the curvature condition{P(\xi,Y)\cdot W=0}. Moreover, ϕ-M-projectively semisymmetric and ϕ-pseudo-projectively semisymmetric generalized Sasakian-space-forms are also studied.
De, Uday Chand, Haseeb, Abdul
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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 Science
In 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, Prajapati, Pawan, Rajin, R., Singh, Gyanvendra Pratap   +3 more
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Disintegration of H-Projective Curvature Tensor in a Kaehlerian Recurrent Spaces

Arya Bhatta Journal of Mathematics and Informatics, 2023
Negi (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, Neha Rani, Preeti Chauhan, null Sulochana   +3 more
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