Results 81 to 90 of about 163,995 (245)
Harmonic Aspects in an $\eta$-Ricci Soliton [PDF]
International Electronic Journal of Geometry, 2018 We characterize the $\eta$-Ricci solitons $(g,\xi,\lambda,\mu)$ for the special cases when the $1$-form $\eta$, which is the $g$-dual of $\xi$, is harmonic or Schr\"{o}dinger-Ricci harmonic form.
A. Blaga
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper is devoted to Ricci solitons admitting a Jacobi‐type vector field. First, we present some rigidity results for Ricci solitons (Mn, g, V, λ) admitting a Jacobi‐type vector field ξ and provide conditions under which ξ is Killing. We also present conditions under which the Ricci soliton (Mn, g, ξ, λ) is isometric to Rn.
Vahid Pirhadi +3 more
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On Sasaki–Ricci solitons and their deformations [PDF]
Advances in Geometry, 2016 Abstract We extend to the Sasakian setting a result of Tian and Zhu about the decomposition of the Lie algebra of holomorphic vector fields on a Kähler manifold in the presence of a Kähler-Ricci soliton. Furthermore we apply known deformations of Sasakian structures to a Sasaki-Ricci soliton to obtain a stability result concerning ...
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A Note on Kahler-Ricci Soliton [PDF]
International Mathematics Research Notices, 2009 A lemma added; an error ...
Chen, Xiuxiong, Sun, Song, Tian, Gang
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2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +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 ...
X. Dai, Y. Zhao, Uday Chand De
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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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Open String Renormalization Group Flow as a Field Theory
Fortschritte der Physik, Volume 72, Issue 11, November 2024.Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
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Gradient Ricci Bourguignon solitons on perfect fluid space-times [PDF]
Journal of Mahani Mathematical ResearchThe main purpose of the present paper is about characterizing the properties of the perfect fluid space-time that admits the gradient Ricci-Bourguignon soliton. This gives some results about the stability of the energy-momentum tensor and also under some
Sakineh Hajiaghasi, Shahroud Azami
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$${\epsilon}$$ ϵ -regularity for shrinking Ricci solitons and Ricci flows [PDF]
Geometric and Functional Analysis, 2017 Comment: 22 ...
Ge, Huabin, Jiang, Wenshuai
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