Author
Sudhakar Kumar Chaubey
Bio: Sudhakar Kumar Chaubey is an academic researcher from Higher College of Technology. The author has contributed to research in topics: Manifold & Metric (mathematics). The author has an hindex of 4, co-authored 6 publications receiving 38 citations.
Papers
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TL;DR: In this paper, it was proved that a Lorentzian manifold endowed with a semi-symmetric metric connection is a GRW spacetime and characterized the Ricci semisymmetric manifold.
Abstract: We set a type of semi-symmetric metric connection on the Lorentzian manifolds. It is proved that a Lorentzian manifold endowed with a semi-symmetric metric $$\rho $$
-connection is a GRW spacetime. We also characterize the Ricci semisymmetric Lorentzian manifold and study the solution of Eisenhart problem of finding the second order parallel (skew-)symmetric tensor on Lorentzian manifolds. Finally, we address physical interpretation of some geometric results of our paper.
28 citations
TL;DR: In this paper, it was shown that the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradieness of a quasi-Yamabe solitons.
Abstract: We characterize almost co-Kahler manifolds with gradient Yamabe, gradient Einstein and quasi-Yamabe solitons. It is proved that if the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradien...
19 citations
13 Oct 2017
TL;DR: In this article, the properties of pseudo Ricci symmetric quasi-Einstein and N(k)-quasi-Eveinstein manifolds have been studied and some examples of such manifolds are constructed.
Abstract: The aim of the present paper is to study the properties of pseudo Ricci symmetric quasi Einstein and N(k)-quasi Einstein manifolds. We construct some examples of N(k)-quasi Einstein manifolds which support the existence of such manifolds.
13 citations
01 Jan 2010
TL;DR: In this article, the properties of a quarter-symmetric non-metric connection in a Kahler manifold were studied and the authors proposed a non-parametric connection for the first time.
Abstract: In the present paper, we studied the properties of a quarter-symmetric non-metric connection in a Kahler manifold. Mathematics Subject Classification: 53B15
8 citations
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TL;DR: In this paper, it was shown that the Weyl tensor is divergence-free and the potential function of the concircular vector field is pointwise collinear with the velocity vector field of perfect fluid spacetime.
Abstract: This paper deals with the study of perfect fluid spacetimes. It is proven that a perfect fluid spacetime is Ricci recurrent if and only if the velocity vector field of perfect fluid spacetime is parallel and α = β. In addition, in a stiff matter perfect fluid Yang pure space with p + σ ≠ 0, the integral curves generated by the velocity vector field are geodesics. Moreover, it is shown that in a generalized Robertson–Walker perfect fluid spacetime, the Weyl tensor is divergence-free and the gradient of the potential function of the concircular vector field is pointwise collinear with the velocity vector field of perfect fluid spacetime. We also characterize the perfect fluid spacetimes whose Lorentzian metrics are Yamabe and gradient Yamabe solitons, respectively.
22 citations
TL;DR: In this paper, the authors characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds.
Abstract: In this paper, we characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds.
11 citations
TL;DR: In this article, it was shown that a 3D Riemannian manifold endowed with a semi-symmetric ρ-connection, whose metric is a Yamabe soliton, is a manifold of constant sectional curvature − 1 and the soliton is expanding with soliton constant − 6.
11 citations
TL;DR: In this article, the properties of perfect fluid spacetimes endowed with the gradient η -Ricci and gradient Einstein solitons were studied, and the authors set the goal to study the properties.
11 citations
01 Aug 2017
TL;DR: In this article, the authors studied the -Ricci solitons in 3-dimensional trans-Sasakian manifolds and showed that they can be computed in 3D.
Abstract: The aim of this paper is to study the -Ricci solitons in 3-dimensionaltrans-Sasakian manifolds
7 citations