Results 1 to 10 of about 154,368 (243)
Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
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Some New Characterizations of Trivial Ricci–Bourguignon Solitons
Journal of MathematicsA Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais +4 more
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AIMS MathematicsIn this research note, we investigated the characteristics of perfect fluid spacetime when coupled with the hyperbolic Ricci soliton. We additionally interacted with the perfect fluid spacetime, with a $ \varphi(\mathcal{Q}) $-vector field and a bi ...
Mohd. Danish Siddiqi , Fatemah Mofarreh
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Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons
Journal of MathematicsThis paper is dedicated to the study of the geometric composition of a perfect fluid space-time with a conformal Ricci-Bourguignon soliton, which is the extended version of the soliton to the Ricci-Bourguignon flow.
Noura Alhouiti +5 more
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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A Study on Contact Metric Manifolds Admitting a Type of Solitons
Journal of MathematicsThe principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal +3 more
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The existence of the Kähler–Ricci soliton degeneration [PDF]
Forum of Mathematics, Pi, 2021 We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton ...
Harold Blum +3 more
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Ricci Soliton of CR-Warped Product Manifolds and Their Classifications
Symmetry, 2023 In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form.
Yanlin Li +4 more
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Hyperbolic Ricci soliton on warped product manifolds
Filomat, 2023 In this paper, we investigate hyperbolic Ricci soliton as the special solution of hyperbolic geometric flow on warped product manifolds. Then, especially, we study these manifolds admitting either a conformal vector field or a concurrent vector field.
S. Azami, Ghodratallah Fasihi-Ramandi
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Riemannian maps whose base manifolds admit a Ricci soliton [PDF]
Publicationes mathematicae (Debrecen), 2021 In this paper, we study Riemannian maps whose base manifolds admit a Ricci soliton and give a non-trivial example of such Riemannian maps. First, we find Riemannian curvature tensor of base manifolds for Riemannian map $F$.
A. Yadav, Kiran Meena
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