Results 11 to 20 of about 205 (141)
A Note on LP‐Sasakian Manifolds with Almost Quasi‐Yamabe Solitons
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We categorize almost quasi‐Yamabe solitons on LP‐Sasakian manifolds and their CR‐submanifolds whose potential vector field is torse‐forming, admitting a generalized symmetric metric connection of type (α, β). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav +3 more
wiley +8 more sources
Weighted Yamabe Solitons [PDF]
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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Yamabe solitons with boundary [PDF]
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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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 +3 more
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Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons [PDF]
Axioms, 2022 In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an ϵ-Kenmotsu manifold,
Abdul Haseeb +3 more
doaj +2 more sources
On complete Yamabe solitons [PDF]
Advances in Geometry, 2017 Abstract In this paper we study an extension of Yamabe solitons for inequalities. We show that a Riemannian complete non-compact shrinking Yamabe soliton (M, g, V, λ) has finite fundamental group, provided that the scalar curvature is strictly bounded above by λ.
Bidabad, B., Ahmadi, M. Yar
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The Existence of Gradient Yamabe Solitons on Spacetimes [PDF]
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).
Güler, Sinem +2 more
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DEFORMATION OF SASAKIAN METRIC AS A YAMABE SOLITON [PDF]
Facta Universitatis, Series: Mathematics and InformaticsIn this paper we investigate Yamabe solitons on deformed Sasakian manifolds. We proved that the Yamabe soliton constant is invariant under new deformation of contact manifolds that deforms metric and structure tensor simultaneously. Further we show that the scalar curvature is equal to the soliton constant and potential vector field of Yamabe soliton ...
Prabhakar, M., Nagaraja, H. G.
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On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow [PDF]
Analysis and Geometry in Metric Spaces, 2023 The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
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On the almost quasi-Yamabe solitons [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 In this paper, we first introduce the notion of almost quasi-Yamabe solitons and get some interesting formulas for them. Then, we explore conditions under which an almost quasi-Yamabe soliton is trivial and give some characterization results for it. Finally, we give a necessary and sufficient condition under which an arbitrary compact almost Yamabe ...
Pirhadi, Vahid, Razavi, Asadollah
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