Results 31 to 40 of about 120 (106)
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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Sasakian Manifolds Admitting ∗‐η‐Ricci‐Yamabe Solitons
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this note, we characterize Sasakian manifolds endowed with ∗‐η‐Ricci‐Yamabe solitons. Also, the existence of ∗‐η‐Ricci‐Yamabe solitons in a 5‐dimensional Sasakian manifold has been proved through a concrete example.
Abdul Haseeb +3 more
wiley +1 more source
Yamabe solitons in contact geometry
New Zealand Journal of Mathematics, 2023 It is shown that the scalar curvature of a Yamabe soliton as a Sasakian manifold is constant and the soliton vector field is Killing. The same conclusion is shown to hold for a Yamabe soliton as a $K$-contact manifold $M^{2n+1}$ if any one of the following conditions hold: (i) its scalar curvature is constant along the soliton vector field $V$, (ii) $V$
Poddar, Rahul +2 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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On warped product gradient Yamabe solitons [PDF]
Journal of Mathematical Analysis and Applications, 2019 14 pages, 1 ...
W. Tokura +3 more
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Study on Twisted Product Almost Gradient Yamabe Solitons
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.
Byung Hak Kim +3 more
wiley +1 more source
Mathematics, 2023 Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
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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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Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds
Mathematics, 2022 A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
doaj +1 more source
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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