Reduction of gradient Ricci soliton equations

DOI10.5186/aasfm.2020.4554zbMath1446.53029arXiv1805.03978OpenAlexW3034802454MaRDI QIDQ5118942

Benedito Leandro, João Paulo Dos Santos

Publication date: 27 August 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03978

zbMATH Keywords

reductionexact solutionsconformal metricsgradient Ricci solitons

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (3)

Rigidity results for Riemann and Schouten solitons ⋮ An analysis of symmetry groups of generalized $m$-quasi-Einstein manifolds ⋮ Static Einstein-Maxwell space-time invariant by translation

Cites Work

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• Locally conformally flat Lorentzian gradient Ricci solitons
• Rigidity of shrinking Ricci solitons
• On solutions of the Ricci curvature equation and the Einstein equation
• On rotationally invariant shrinking Ricci solitons
• On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system
• Three-dimensional Lorentzian homogeneous Ricci solitons
• On gradient Ricci solitons conformal to a pseudo-Euclidean space
• A note on locally conformally flat gradient Ricci solitons
• Ricci solitons on Lorentzian manifolds with large isometry groups
• New similarity reductions of the Boussinesq equation
• Lorentz Ricci solitons on 3-dimensional Lie groups

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