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20152026
most citedA condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time

94 citations · 385 across the 28 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<…