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, 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.
Ayşe Yavuz Taşcı, Füsun Özen
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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,
Uday Chand De, Young Jin Suh
exaly   +3 more sources

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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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 the Riemannian curvature tensor of a real hypersurface in a complex projective space

Mathematische Nachrichten, 2016
We 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
exaly   +2 more sources

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   +3 more
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Impact of φ-M-projective curvature tensor in a space-time

International Journal of Geometric Methods in Modern Physics
This 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

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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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   +3 more
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\(M\)-projective curvature tensor over cosymplectic manifolds

2019
Summary: 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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