Results 31 to 40 of about 446 (140)
Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons
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
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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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Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields
Mathematics, 2023 The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi +2 more
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On the gradient Finsler Yamabe solitons [PDF]
AUT Journal of Mathematics and Computing, 2020 Here, it is proved that the potential functions of Finsler Yamabe solitons have at most quadratic growth in distance function. Also it is obtained a finite topological type property on complete gradient Finsler Yamabe solitons under suitable scalar ...
Mohamad Yar Ahmadi
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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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Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
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Triviality results for compact k-Yamabe solitons [PDF]
Journal of Mathematical Analysis and Applications, 2021 In this paper, we show that any compact gradient k-Yamabe soliton must have constant $ _k$-curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be gradient.
Willian Isao Tokura +1 more
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Some remarks on Yamabe solitons [PDF]
Asian-European Journal of Mathematics, 2019 The evolution of some geometric quantities on a compact Riemannian manifold [Formula: see text] whose metric is Yamabe soliton is discussed. Using these quantities, lower bound on the soliton constant is obtained. We discuss about commutator of soliton vector fields. Also, the condition of soliton vector field to be a geodesic vector field is obtained.
Chakraborty, Debabrata +2 more
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Remarks on the Warped Product Structure from the Hessian of a Function
Mathematics, 2018 The warped product structure of a gradient Yamabe soliton and a Ricci soliton with a concircular potential field is proved in another way.
Jong Ryul Kim
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On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow
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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