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20202024
most citedPerfect fluid spacetimes and gradient solitons

45 citations · 169 across the 17 of their papers we have counts for

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Showing 2024 · math.DGShow all

7 papers · 2 filters

math.DG2024★ 4 cited

Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection

Uday Chand De, Krishnendu De, Sinem Güler

In this article, we characterize a Lorentzian manifold with a semi-symmetric metric connection. At first, we consider a semi-symmetric metric connection whose curvatu…

math.DG2024★ 20 cited

Perfect fluid spacetimes and -almost yamabe solitons

Krishnendu De, Uday Chand De, Aydin Gezer

In this article, we presumed that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations. With this new and creative…

math.DG2024★ 15 cited

Characterizations of a spacetime of quasi-constant sectional curvature and -gravity

Uday Chand De, Krishnendu De, Fusun Ozen Zengin +1

The main aim of this article is to investigate a spacetime of quasi-constant sectional curvature. At first, the existence of such a spacetime is established by several examples. We…

math.DG2024

Investigations on a Riemannian manifold with a semi-symmetric non-metric connection and gradient solitons

Krishnendu De, Uday Chand De, Aydin Gezer

This article carries out the investigation of a three-dimensional Riemannian manifold endowed with a semi-symmetric type non-metric connection. Firstly, we construct a non-tr…

math.DG2024★ 15 cited

Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons

Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De

In this article, we examine gradient type Ricci solitons and -quasi Einstein solitons in generalized Robertson-Walker () spacetimes. Besides, we demonstrate that in thi…

math.DG2024★ 16 cited

Almost co-Kähler manifolds and -quasi-Einstein solitons

Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De

The present paper aims to investigate -quasi-Einstein metrices on almost co-Kähler manifolds . It is proven that if a -almost co-Kähler manifold with $κ<…

math.DG2024

Conformal vector fields on almost Kenmotsu manifolds

Uday Chand De, Arpan Sardar, Krishnendu De

In this paper, first we consider that the conformal vector field is identical with the Reeb vector field and next, assume that is pointwise collinear…