Results 21 to 30 of about 127 (110)
Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field
, 2021 The goal of this paper is to study conformal Yamabe soliton and $*$-Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on ...
Roy, Soumendu +2 more
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Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +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
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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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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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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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
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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
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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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Axioms, 2023 A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an 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 ...
Mancho Manev
doaj +1 more source