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Chern-Yamabe problem and Chern-Yamabe soliton

International Journal of Mathematics, 2021
Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text]. The Chern-Yamabe problem is to find a conformal metric of [Formula: see text] such that its Chern scalar curvature is constant.
Pak Tung Ho, Jinwoo Shin
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Yamabe solitons with boundary

Annali di Matematica Pura ed Applicata (1923 -), 2023
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Pak Tung Ho, Jinwoo Shin
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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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Yamabe and quasi-Yamabe solitons in paracontact metric manifolds

International Journal of Geometric Methods in Modern Physics, 2021
The aim of this paper is to characterize paracontact metric manifolds admitting Yamabe and quasi-Yamabe solitons. Several results of such solitons are proved. In particular, we classify Yamabe and quasi-Yamabe solitons on [Formula: see text]-paracontact metric manifolds.
De, Uday Chand, Suh, Young Jin
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Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold

Mathematica Slovaca, 2020
AbstractIn this paper, we study Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. First, we prove that if a Kenmotsu metric is a Yamabe soliton, then it has constant scalar curvature. Examples has been provided on a larger class of almost Kenmotsu manifolds, known asβ-Kenmotsu manifold.
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Quasi-Yamabe and Yamabe Solitons on Hypersurfaces of Nearly Kähler Manifolds

Mediterranean Journal of Mathematics, 2023
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Chen, Bang-Yen   +2 more
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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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A note on gradient k-Yamabe solitons

Annals of Global Analysis and Geometry, 2022
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Antonio W. Cunha, Eudes L. de Lima
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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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