Left invariant pseudo-Riemannian metrics on solvable Lie groups

DOI10.1016/j.geomphys.2018.08.014zbMath1412.53101OpenAlexW2914403138WikidataQ115352869 ScholiaQ115352869MaRDI QIDQ2633481

Zhiqi Chen, Ju Tan, Na Xu

Publication date: 8 May 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.08.014

zbMATH Keywords

Lie groupRicci soliton\(m\)-quasi-Einsteinlorentzian metric

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43)

Cites Work

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• Non-trivial \(m\)-quasi-Einstein metrics on quadratic Lie groups
• Rigidity of quasi-Einstein metrics
• Non-trivial \(m\)-quasi-Einstein metrics on simple Lie groups
• Curvatures of left invariant metrics on Lie groups
• Left-invariant Lorentz metrics on Lie groups
• Harmonicity of vector fields on a class of Lorentzian solvable Lie groups
• Uniqueness of quasi-Einstein metrics on 3-dimensional homogeneous manifolds
• Homogeneous Ricci solitons
• INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
• Recent Progress on Ricci Solitons
• On gradient Ricci solitons with symmetry
• Lorentzian Flat Lie Groups Admitting a Timelike Left-Invariant Killing Vector Field

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