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On conharmonic transformations of weyl spaces
Fusun Ozen,S Uysal Aynur +1 more
- Vol. 61, Iss: 3, pp 251-259
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The article was published on 2000-12-01 and is currently open access. It has received 29 citations till now.read more
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On equivalency of various geometric structures
Absos Ali Shaikh,Haradhan Kundu +1 more
TL;DR: A tensor is presented by combining Riemann–Christoffel curvature Tensor, Ricci tensor, the metric tensor and scalar curvature which describe various curvature tensors as its particular cases and is proved to have equivalency of different geometric structures.
On a generalized class of recurrent manifolds
Absos Ali Shaikh,Ananta Patra +1 more
TL;DR: In this article, a non-flat Riemannian manifold called hyper-generalized recurrent manifold (GRF) is introduced and its properties along with the existence of a proper example are studied.
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Curvature Properties of Gödel metric
TL;DR: The main aim of as mentioned in this paper is to investigate the geometric structures admitting by the Godel spacetime which produces a new class of semi-Riemannian manifolds and also consider some extension of Godel metric.
Journal ArticleDOI
On curvature properties of Som–Raychaudhuri spacetime
Absos Ali Shaikh,Haradhan Kundu +1 more
TL;DR: The main object of as discussed by the authors is to investigate the curvature restricted geometric structures admitting by the Som-Raychaudhuri spacetime and it is shown that such a spacetime is a 2-quasi-Einstein, generalized Roter type, and its Ricci tensor is cyclic parallel and Riemann compatible.
T-curvature tensor on a semi-riemannian manifold
Mukut Mani Tripathi,Punam Gupta +1 more
TL;DR: The T-curvature tensor as mentioned in this paper is a new curvature tensors which is defined as the T-Curvature ten-plus tensor, and its properties for T-conservative and T-flat semi-Riemannian manifolds are given.
References
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Journal ArticleDOI
On equivalency of various geometric structures
Absos Ali Shaikh,Haradhan Kundu +1 more
TL;DR: A tensor is presented by combining Riemann–Christoffel curvature Tensor, Ricci tensor, the metric tensor and scalar curvature which describe various curvature tensors as its particular cases and is proved to have equivalency of different geometric structures.
On a generalized class of recurrent manifolds
Absos Ali Shaikh,Ananta Patra +1 more
TL;DR: In this article, a non-flat Riemannian manifold called hyper-generalized recurrent manifold (GRF) is introduced and its properties along with the existence of a proper example are studied.
Posted Content
Curvature Properties of Gödel metric
TL;DR: The main aim of as mentioned in this paper is to investigate the geometric structures admitting by the Godel spacetime which produces a new class of semi-Riemannian manifolds and also consider some extension of Godel metric.
Journal ArticleDOI
On curvature properties of Som–Raychaudhuri spacetime
Absos Ali Shaikh,Haradhan Kundu +1 more
TL;DR: The main object of as discussed by the authors is to investigate the curvature restricted geometric structures admitting by the Som-Raychaudhuri spacetime and it is shown that such a spacetime is a 2-quasi-Einstein, generalized Roter type, and its Ricci tensor is cyclic parallel and Riemann compatible.
T-curvature tensor on a semi-riemannian manifold
Mukut Mani Tripathi,Punam Gupta +1 more
TL;DR: The T-curvature tensor as mentioned in this paper is a new curvature tensors which is defined as the T-Curvature ten-plus tensor, and its properties for T-conservative and T-flat semi-Riemannian manifolds are given.