Results 11 to 20 of about 387 (181)
TURKISH JOURNAL OF MATHEMATICS, 2020 The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weyl structureofthebasemanifold M is lifted to its tangent bundle TM, by using the Sasaki metric. We give some necessary and sufficient conditions such that the Weyl structure on TM to be a gradient Weyl-Ricci soliton.
Cornelia-Livia BEJAN +2 more
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On gradient solitons of the Ricci–Harmonic flow [PDF]
Acta Mathematica Sinica, English Series, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Hongxin +2 more
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On warped product gradient η-Ricci solitons
Filomat, 2017 If the potential vector field of an ?-Ricci soliton is of gradient type, using Bochner formula, we derive from the soliton equation a nonlinear second order PDE. In a particular case of irrotational potential vector field we prove that the soliton is completely determined by f .
Adara Blaga
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The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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On the Ricci curvature of steady gradient Ricci solitons
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Hongxin
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Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds
Journal of Mathematics, 2022 In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim +3 more
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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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Eta-Ricci Solitons and Gradient Ricci Solitons On Nearly Kenmotsu Manifolds. [PDF]
, 2018 In this paper, we study Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds. After giving some basic definitions, we prove that in a nearly Kenmotsu manifold, if the metric g admits a Ricci soliton (g,v, ?) and V is pointwise collinear with ?
Ayar, Gülhan +2 more
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Rigidity of Non-Steady Gradient Ricci Solitons
AxiomsLet (M,g) be a connected, compact Riemannian manifold of dimensionan n. We demonstrate that, after a suitable normalization, a shrinking gradient Ricci soliton (M,g,f,λ) is trivial exactly when the mean value of f is less than or equal to n2.
Mohammed Guediri
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On a Class of Gradient Almost Ricci Solitons [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2020 In this study, we provide some classifications for half-conformally flat gradient $f$-almost Ricci solitons, denoted by $(M, g, f)$, in both Lorentzian and neutral signature. First, we prove that if $||\nabla f||$ is a non-zero constant, then $(M, g, f)$ is locally isometric to a {warped product} of the form $I \times_φ N$, where $I \subset \mathbb{R}$
Güler, Sinem, Güler, Sinem
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