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Conformally Flat Algebraic Ricci Solitons on Lie Groups
Mathematical Notes, 2018A Ricci soliton is a pseudo-Riemannian manifold \((M,g)\) which admits a smooth vector field \(X\) on \(M\) such that \[ r=\Lambda g+L_{X}g \] where \(L_{X}\) denotes the Lie derivative in the direction of \(X\), \(r\) denotes the Ricci tensor and \(\Lambda\) is a real number (\(\Lambda =\frac{1}{n}\left( 2\mathrm{div}(X)+S\right)\), where \(n=\dim M\)
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Some Results on Conformal Geometry of Gradient Ricci Solitons
Bulletin of the Brazilian Mathematical Society, New Series, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On gradient Ricci solitons conformal to a pseudo-Euclidean space
Israel Journal of Mathematics, 2014The article under review is devoted to particular gradient Ricci solitons. By definition, a semi-Riemannian manifold \((M^n, g)\), \(n\geq 3\), is called a gradient Ricci soliton, if there exists a smooth function \(f:M^n\to \mathbb R\), called a potential function, such that \[ \mathrm{Ric}_g + \mathrm{Hess}_g (f) = \rho g, \] where \(\mathrm{Ric}_g\)
Barbosa, Ezequiel +2 more
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Geometry of almost conformal Ricci solitons on weakly Ricci symmetric spacetime
Reviews in Mathematical PhysicsThe aim of this paper is to study geometrical aspects of the almost conformal Ricci solitons on weakly Ricci symmetric perfect fluid spacetime obeying Einstein field equations. Among others, we first find the soliton constant and cosmological constant in weakly Ricci symmetric spacetime.
Tarun Saxena, Akhilesh Yadav
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Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime
International Journal of Geometric Methods in Modern PhysicsIn this research paper, we determine the nature of conformal [Formula: see text]-Ricci–Bourguignon soliton on a general relativistic spacetime with torse forming potential vector field. Besides this, we evaluate a specific situation of the soliton when the spacetime admitting semi-symmetric energy–momentum tensor with respect to conformal [Formula ...
Santu Dey +3 more
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Geometrical Structure in a Perfect Fluid Spacetime With Conformal Ricci–Yamabe Soliton
Symmetry, 2022Santu Dey +2 more
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Kenmotsu Metric as Conformal η -Ricci Soliton
Mediterranean Journal of Mathematics, 2023Dipen Ganguly, Yanlin Li
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A Study of Conformal Almost Ricci Solitons on Kenmotsu Manifolds
International Journal of Geometric Methods in Modern Physics, 2023Santu Dey +2 more
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Conformal Ricci Soliton and Almost Conformal Ricci Soliton in Paracontact Geometry
International Journal of Geometric Methods in Modern Physics, 2023Santu Dey
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Conformal η-Ricci Solitons on Riemannian Submersions Under Canonical Variation
Axioms, 2022Meraj Ali Khan +2 more
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