Results 41 to 50 of about 272 (159)
Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
Mathematics, 2023 We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović +1 more
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Glued linear connection on surface of the projective space
Дифференциальная геометрия многообразий фигур, 2020 We consider a surface as a variety of centered planes in a multidimensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
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A Study of Generalized Projective P−Curvature Tensor on Warped Product Manifolds
Journal of Mathematics, 2021 The main aim of this study is to investigate the effects of the P−curvature flatness, P−divergence-free characteristic, and P−symmetry of a warped product manifold on its base and fiber (factor) manifolds.
Uday Chand De +3 more
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Almost C(α)-Manifold on M-Projective Curvature Tensor
New Trends in Mathematical Science, 2022 In this article, the behavior of the C(α)-manifold satisfying the conditions R(X,Y)W∗ = 0,W∗ (X,Y)R = 0,W∗ (X,Y)Z˜ = 0, W∗ (X,Y)S = 0 and W∗ (X,Y)C˜ = 0 on the M−projective curvature tensor is investigated. The C(α)−Manifold is characterized according to these states of the curvature tensor.
Tuğba Mert, Mehmet Atçeken
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Geometry of LP-Sasakian Manifolds Admitting a General Connection
MathematicsThis paper concerns certain properties of projective curvature tensor, conharmonic curvature tensor, quasi-conharmonic curvature tensor, and Ricci semi-symmetric conditions with respect to the general connection in an LP-Sasakian manifold.
Rajesh Kumar +3 more
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Relativistic segnificance of curvature tensors
International Journal of Mathematics and Mathematical Sciences, 1982 In thi paper new curvature tensors have been defined on the lines of Weyl's projective curvature tensor and it has been shown that the distribution (order in which the vectors in question are arranged before being acted upon by the tensor in question ...
G. P. Pokhariyal
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AIP AdvancesThis paper introduces a description of a doubly warped product manifold, taking into account certain conditions related to the projective curvature tensor.
Abdallah Abdelhameed Syied +3 more
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Comptes Rendus. MathématiqueEvery Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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Tensor Decompositions and Their Properties
Mathematics, 2023 In the present paper, we study two different approaches of tensor decomposition. The first part aims to study some properties of tensors that result from the fact that some components are vanishing in certain coordinates.
Patrik Peška, Marek Jukl, Josef Mikeš
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A Study of Spacetimes with vanishing M−projective Curvature Tensor
Journal of the Tensor Society, 2007 In this paper we study about the M−projectively flat perfect fluid spacetime. First of all we showed that the Riemannian curvature tensor of an M−projectively flat spacetime is covariantly constant. Then we found the length of the Ricci operator in an M−projectively flat perfect fluid spacetime and proved that the isotropic pressure and entry density ...
Dipankar K Debnath +2 more
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