Results 41 to 50 of about 174,038 (179)
International Electronic Journal of Geometry, 2023 In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds in the class of complete almost Ricci solitons. Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to ...
Vladimir Rovenski +2 more
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∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds
International Journal of Analysis and Applications, 2021 The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
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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 V V is ...
Yanlin Li, S. Dey, S. Pahan, Akram Ali
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Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups
, 2010 We show that Lorentzian manifolds whose isometry group is of dimension at least $\frac{1}{2}n(n-1)+1$ are expanding, steady and shrinking Ricci solitons and steady gradient Ricci solitons.
Batat, W. +3 more
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Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
Journal of Nonlinear Mathematical Physics, 2023 In this paper, we characterize the generalized Ricci soliton equation on the three-dimensional Lorentzian Walker manifolds. We prove that every generalized Ricci soliton with C,β,μ≠0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \
Vahid Pirhadi +2 more
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η-Ricci Solitons on Kenmotsu 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor.
De Krishnendu, De Uday Chand
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, 2017 English translation of "Solitony Ricciego" (Wiadomości 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 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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Special Kähler–Ricci potentials and Ricci solitons [PDF]
Annals of Global Analysis and Geometry, 2008 On a manifold of dimension at least six, let $(g,τ)$ be a pair consisting of a Kähler metric g which is locally Kähler irreducible, and a nonconstant smooth function $τ$. Off the zero set of $τ$, if the metric $\hat{g}=g/τ^2$ is a gradient Ricci soliton which has soliton function $1/τ$, we show that $\hat{g}$ is Kähler with respect to another complex ...
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Compactness theorems of gradient Ricci solitons
, 2005 In this paper, we prove the compactness theorem for gradient Ricci solitons. Let $(M_{\alpha}, g_{\alpha})$ be a sequence of compact gradient Ricci solitons of dimension $n\geq 4$, whose curvatures have uniformly bounded $L^{\frac{n}{2}}$ norms, whose ...
Anderson +21 more
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