Results 1 to 10 of about 167,066 (149)
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 +2 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 ...
Santu Dey +2 more
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A note on gradient Ricci soliton warped metrics [PDF]
Mathematische Nachrichten, 2021 In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are realized as warped products, from which we know that the base spaces of these ...
JOSÉ Gomes, Marcus Marrocos
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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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Ricci-Bourguignon Solitons With Certain Applications to Relativity
Journal of MathematicsThis article concerns with the investigation of Ricci-Bourguignon solitons and gradient Ricci-Bourguignon solitons in perfect fluid space-times and generalised Robertson–Walker space-times.
Krishnendu De +3 more
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Journal of MathematicsIn this paper, we investigate the geometric properties of η-Ricci–Bourguignon (η-RB) solitons on para-Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature
Lalnunenga Colney +3 more
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*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
Open Mathematics, 2019 Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Uday Chand De
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Journal of MathematicsThis paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we ...
Mohammad Nazrul Islam Khan +2 more
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Lorentzian Para-Kenmotsu Manifolds Within the Framework of ∗-Conformal η-Ricci Soliton
Journal of Applied MathematicsThe present article intends to study the ∗-conformal η-Ricci soliton on n-LPK (n-dimensional Lorentzian para-Kenmotsu) manifolds with curvature constraints.
Shyam Kishor +3 more
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Some Properties of the Potential Field of an Almost Ricci Soliton
MathematicsIn this article, we are interested in finding necessary and sufficient conditions for a compact almost Ricci soliton to be a trivial Ricci soliton. As a first result, we show that positive Ricci curvature and, for a nonzero constant c, the integral of ...
Adara M Blaga +2 more
exaly +3 more sources