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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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, 2017 English translation of "Solitony Ricciego" (Wiadomo ci Matematyczne 48, 2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers just a few narrow topics: Perelman's proof of the fact that compact Ricci solitons are of the gradient type, and a detailed unified description of Page's and Berard Bergery's Einstein manifolds on the one ...
Esteban Calviño-Louzao +4 more
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On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding ...
Semsi Eken Meric, Erol Kilic
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A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold
AxiomsThis paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold.
Yanlin Li +3 more
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n-Ricci-Bourguignon solitons with a semi-symmetric metric and semi-symmetric non-metric connection
AIMS Mathematics, 2023 We consider a generalization of a Ricci soliton as $ \eta $-Ricci-Bourguignon solitons on a Riemannian manifold endowed with a semi-symmetric metric and semi-symmetric non-metric connection.
Yusuf Dogru
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Special Kähler–Ricci potentials and Ricci solitons [PDF]
Annals of Global Analysis and Geometry, 2008 On a manifold of dimension at least six, let $(g, )$ be a pair consisting of a K hler metric g which is locally K hler irreducible, and a nonconstant smooth function $ $. Off the zero set of $ $, if the metric $\hat{g}=g/ ^2$ is a gradient Ricci soliton which has soliton function $1/ $, we show that $\hat{g}$ is K hler with respect to another ...
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Sufficient conditions for triviality of Ricci solitons
AIMS MathematicsWe found conditions on an $ n $-dimensional Ricci soliton $ \left(M, g, \mathbf{u}, \lambda \right) $ to be trivial. First, we showed that under an appropriate upper bound on the squared length of the covariant derivative of the potential field $ \mathbf{
Nasser Bin Turki, Sharief Deshmukh
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On the relation between Ricci-Harmonic solitons and Ricci solitons
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ricci soliton and η-Ricci soliton on Generalized Sasakian space form
Filomat, 2017 Summary: The aim of the present paper is to study Ricci soliton, \(\eta\)-Ricci soliton and various types of curvature tensors on Generalized Sasakian space form. We have also studied conformal Killing vector field, torse forming vector field on Generalized Sasakian space form.
Pahan, Sampa +2 more
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η-Ricci soliton on η-Einstein-like LP-Sasakian manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 The object of the present article is to study the notion of η-Einstein-like LP-Sasakian manifolds admitting η-Ricci soliton. Furthermore, we study the η-Ricci soliton on LP-Sasakian manifolds when the potential vector field V is point-wise collinear.
Das Susanta +2 more
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