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The Existence of Gradient Yamabe Solitons on Spacetimes

Results in Mathematics, 2022
The authors investigate the existence of the non-trivial gradient Yamabe soliton on generalized Robertson-Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. The most remarkable results concern gradient Yamabe solitons on pp-wave spacetimes (see Section 3.5).
Sinem Güler, Bulent Ünal
exaly   +4 more sources

A note on gradient k-Yamabe solitons

Annals of Global Analysis and Geometry, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio W Cunha, Eudes L de Lima
exaly   +2 more sources

On Finslerian Warped Product Gradient Yamabe Solitons

Bulletin of the Brazilian Mathematical Society, New Series, 2022
In the present paper the authors study the Finslerian gradient Yamabe solitons on warped product manifolds. Firstly, the authors present some rigidity results related to the warping and potential functions and in order to provide nontrivial examples, they consider the warped product base as a double twisted product invariant by the action of a ...
W. Tokura   +3 more
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Properties of Warped Product Gradient Yamabe Solitons

Mediterranean Journal of Mathematics, 2023
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Willian Tokura   +3 more
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Characterizations of Gradient h-Almost Yamabe Solitons

Results in Mathematics, 2022
A Riemannian manifold \(\left(M,g\right)\) is called a Yamabe soliton if there is a vector field \(X\) on \(M\) such that \(\frac{1}{2}\mathcal{L}_{X}g=\left(R-\lambda\right)g\), where \(\mathcal{L}_{X}\) is the Lie derivative in the direction of the vector field \(X\), \(\lambda\in\mathbb{R}\) and \(R\) is the scalar curvature of \(\left(M,g\right)\).
Antonio W. Cunha, Mohd. Danish Siddiqi
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Characterization of Almost η-Ricci–Yamabe Soliton and Gradient Almost η-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds

Acta Mathematica Sinica, English Series, 2023
\textit{S. Güler} and \textit{M. Crasmareanu} [Turk. J. Math. 43, No. 5, 2631--2641 (2019; Zbl 1433.53125)] introduced a new geometric flow under the name of Ricci-Yamabe flow because it is a scalar combination of the well-known Ricci and Yamabe flows. The paper under review is concerned with the notion of \(\eta \)-Ricci-Yamabe soliton in the setting ...
Santu Dey, Arindam Bhattacharyya
exaly   +3 more sources

On Gradient Ricci-Yamabe Solitons

Iranian Journal of Science
In this paper, we establish some necessary and sufficient conditions for multiply warped product manifolds admitting a gradient Ricci-Yamabe soliton. For this purpose, the potential function of this soliton and the conditions that must be satisfied for each component of the multiply warped product manifold are investigated.
Fatma Karaca, Sinem Güler
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Yamabe solitons and gradient Yamabe solitons on three-dimensional N(k)-contact manifolds

International Journal of Geometric Methods in Modern Physics, 2020
If a three-dimensional [Formula: see text]-contact metric manifold [Formula: see text] admits a Yamabe soliton of type [Formula: see text], then the manifold has a constant scalar curvature and the flow vector field [Formula: see text] is Killing. Furthermore, either [Formula: see text] has a constant curvature [Formula: see text] or the flow vector ...
Young Jin Suh, Uday Chand De
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Notes on m-quasi Yamabe gradient solitons

Proceedings of the Indian Academy of Sciences: Mathematical Sciences
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Rahul Poddar   +1 more
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Geometry of gradient Yamabe solitons

Annals of Global Analysis and Geometry, 2016
Let \((M,g)\) be a complete Riemannian manifold. The Riemannian metric \(g=g_{ij}dx^idx^j\) is called a gradient Yamabe soliton if there exists a smooth function \(f:M\longrightarrow\mathbb{R}\) and a constant \(\lambda\in\mathbb{R}\) such that \[ (R-\lambda)g_{ij}=\nabla_i\nabla_jf, \] where \(R\) denotes the scalar curvature of the Riemannian metric \
Yang, Fei, Zhang, Liangdi
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