Results 91 to 100 of about 38,409 (231)
On the completeness of gradient Ricci solitons [PDF]
Proceedings of the American Mathematical Society, 2009 5 ...
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Homogeneous Ricci Solitons in Low Dimensions [PDF]
International Mathematics Research Notices, 2014 20 pages, 3 tables; Appendix by Jorge ...
Arroyo, Romina M., Lafuente, Ramiro
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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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Ricci solitons: the equation point of view [PDF]
manuscripta mathematica, 2008 We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. Some simple proofs of known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of the Ricci flow.
MANOLO EMINENTI +2 more
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Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups [PDF]
arXiv, 2011 We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are sol-solitons. In particular, we prove that, contrary to the Riemannian case, Lorentzian Ricci solitons need not to be algebraic Ricci solitons. We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups.
arxiv
Rigidity results for shrinking and expanding Ricci solitons [PDF]
arXiv, 2022 In this paper, we prove some rigidity results for both shrinking and expanding Ricci solitons. First, we prove that compact shrinking Ricci solitons are Einstein if we control the maximum value of the potential function. Then, we prove some rigidity results for non-compact gradient expanding and shrinking Ricci solitons with pinched Ricci and scalar ...
arxiv
Examples of algebraic Ricci solitons in the Pseudo-Riemannian case [PDF]
arXiv, 2011 This paper provides a study of algebraic Ricci solitons in the pseudo-Riemannian case. In the Riemannian case, all nontrivial homogeneous algebraic Ricci solitons are expanding algebraic Ricci solitons. In this paper, we obtain a steady algebraic Ricci soliton and a shrinking algebraic Ricci soliton in the Lorentzian setting.
arxiv
, 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 ...
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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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Hyperbolic Ricci solitons on perfect fluid spacetimes
AIMS MathematicsIn the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
Shahroud Azami +3 more
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