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A note on almost co-Kähler manifolds
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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...read more
Citations
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Perfect fluid spacetimes and Yamabe solitons
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.
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Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds
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.
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Characterization of three-dimensional Riemannian manifolds with a type of semi-symmetric metric connection admitting Yamabe soliton
S. K. Chaubey,Uday Chand De +1 more
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.
Journal ArticleDOI
Characterization of perfect fluid spacetimes admitting gradient η-Ricci and gradient Einstein solitons
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.
Sasakian Manifolds Admitting ∗ - η -Ricci-Yamabe Solitons
TL;DR: In this article , the existence of ∗ - η -Ricci-Yamabe solitons in a 5-dimensional Sasakian manifold has been proved through a concrete example.
References
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Journal ArticleDOI
Almost Cosymplectic and Almost Kenmotsu (κ, μ, ν)-Spaces
TL;DR: The Riemann curvature tensor of (κ, μ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures was studied in this article.
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Minimal Reeb vector fields on almost cosymplectic manifolds
TL;DR: In this article, it was shown that the Reeb vector field of an almost cosymplectic three-manifold is minimal if and only if it is an eigenvector of the Ricci operator.
Journal ArticleDOI
On the almost quasi-Yamabe solitons
Vahid Pirhadi,Asadollah Razavi +1 more
TL;DR: In this paper, the authors introduce the notion of almost quasi-Yamabe solitons and get some interesting formulas for them, and explore conditions under which an almost quasi Yamabe soliton is trable.
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A note on warped product almost quasi-Yamabe solitons
TL;DR: In this paper, the authors consider almost quasi-Yamabe solitons in Riemannian manifolds and derive a Bochner-type formula in the gradient case and prove that the manifold is of constant scalar curvature.
Posted Content
Generalized quasi Yamabe gradient solitons
TL;DR: In this article, it was shown that a nontrivial complete generalized quasi Yamabe gradient soliton (M; g) must be a quasi-Yamabe gradients soliton on each connected component of M and that such a soliton has a special warped product structure.