Results 221 to 230 of about 375 (259)
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On Z-Symmetric Manifold Admitting Projective Curvature Tensor
International Electronic Journal of Geometry, 2022The 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.
Ayşe Yavuz Taşcı, Füsun Özen
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A spacetime with pseudo-projective curvature tensor
Journal of Mathematical Physics, 2016The 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,
Uday Chand De, Young Jin Suh
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On generalized Sasakian-space-forms with M-projective curvature tensor
Advances in Pure and Applied Mathematics, 2018AbstractThe 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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Projective curvature tensors of a Finsler space
Bulletin de la Classe des sciences, 1968Sinha 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 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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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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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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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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