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Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold
Mathematica Slovaca, 2020AbstractIn 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.
Amalendu Ghosh
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Yamabe Solitons and Ricci Solitons on Almost co-Kähler Manifolds
Canadian Mathematical Bulletin, 2019AbstractThe object of this paper is to study Yamabe solitons on almost co-Kähler manifolds as well as on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds. We also study Ricci solitons on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds.
Suh, Young Jin, De, Uday Chand
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Results in Mathematics, 2023
The authors study the weighted Yamabe flow equation in some smooth metric space introduced by \textit{Z. Yan} [Differ. Geom. Appl. 84, Article ID 101922, 33 p. (2022; Zbl 1496.35094)]. A Kazdan-Warner-type identity for the problem of prescribing weighted scalar curvature is studied.
Pak Tung Ho, Jinwoo Shin
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The authors study the weighted Yamabe flow equation in some smooth metric space introduced by \textit{Z. Yan} [Differ. Geom. Appl. 84, Article ID 101922, 33 p. (2022; Zbl 1496.35094)]. A Kazdan-Warner-type identity for the problem of prescribing weighted scalar curvature is studied.
Pak Tung Ho, Jinwoo Shin
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Chern-Yamabe problem and Chern-Yamabe soliton
International Journal of Mathematics, 2021Let [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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Annali di Matematica Pura ed Applicata (1923 -), 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pak Tung Ho, Jinwoo Shin
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2020If 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, 2021The 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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Quasi-Yamabe and Yamabe Solitons on Hypersurfaces of Nearly Kähler Manifolds
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Bang-Yen +2 more
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On Finslerian Warped Product Gradient Yamabe Solitons
Bulletin of the Brazilian Mathematical Society, New Series, 2022In 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, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Willian Tokura +3 more
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