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Geometry of Conformal η-Ricci Solitons and Conformal η-Ricci Almost Solitons on Paracontact Geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Santu Dey, Akram Ali, Yanlin Li
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Carpathian Mathematical Publications, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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MathematicsIn this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Aydin Gezer, Yanlin Li
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Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds [PDF]
AUT Journal of Mathematics and Computing, 2021 The target of this paper is to study $N(k)$-contact metric manifolds with some types of conformal vector fields like $\phi$-holomorphic planar conformal vector fields and Ricci biconformal vector fields.
Uday De, Arpan Sardar, Avijit Sarkar
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Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds [PDF]
Universe, 2023 This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy +3 more
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A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons [PDF]
International Journal of Analysis and Applications, 2023 In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admitting conformal Ricci-Yamabe solitons (CRYS) and gradient conformal Ricci-Yamabe soliton (gradient CRYS).
Mobin Ahmad +2 more
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Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation
Axioms, 2022 This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi +3 more
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022 In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Zhizhi Chen +4 more
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Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric
International Journal of Analysis and Applications, 2023 The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav +2 more
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Gradient almost Ricci solitons on multiply warped product manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton.
S. Günsen, L. Onat
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