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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

open access: yesOpen 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
exaly   +3 more sources

Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold

open access: yesUniverse, 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 ...
Santu Dey   +2 more
exaly   +4 more sources

Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

open access: yesMathematics
In 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
exaly   +4 more sources

A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 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
doaj   +2 more sources

Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds [PDF]

open access: yesAUT 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
doaj   +3 more sources

Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation

open access: yesAxioms, 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
doaj   +2 more sources

A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons [PDF]

open access: yesInternational 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
doaj   +2 more sources

Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric

open access: yesInternational 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
doaj   +1 more source

Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds

open access: yesUniverse, 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
doaj   +1 more source

Gradient almost Ricci solitons on multiply warped product manifolds

open access: yesKarpatsʹkì 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
doaj   +1 more source

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