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math.DG2024

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

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

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

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 th…

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…