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Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields [PDF]
Symmetry, 2021 In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints. The properties of the conformal vector fields are exploited for the purpose of establishing various necessary ...
Ali H Alkhaldi +2 more
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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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The Existence of Gradient Yamabe Solitons on Spacetimes
Results in Mathematics, 2022The 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
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A note on gradient k-Yamabe solitons
Annals of Global Analysis and Geometry, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio W Cunha, Eudes L de Lima
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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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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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