On Lorentzian Ricci solitons on nilpotent Lie groups

DOI10.1002/mana.201500039zbMath1378.53061OpenAlexW2553800433WikidataQ115405883 ScholiaQ115405883MaRDI QIDQ5275859

Thomas H. Wears

Publication date: 14 July 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500039

zbMATH Keywords

nilpotent Lie groupinvariant metricRicci solitonalgebraic solitonLorentzian metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Lorentz Ricci solitons of four-dimensional non-abelian nilpotent Lie groups ⋮ Closed pseudo-Riemannian Ricci solitons ⋮ Indefinite nilsolitons and Einstein solvmanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Four-dimensional Lorentzian Lie groups
• Examples of algebraic Ricci solitons in the pseudo-Riemannian case
• Ricci solitons on Lorentzian-Walker three-manifolds
• Curvatures of left invariant metrics on Lie groups
• Conformal vector fields on pseudo-Riemannian spaces
• Three-dimensional Lorentzian homogeneous Ricci solitons
• Three-dimensional homogeneous Lorentzian Yamabe solitons
• Ricci and Yamabe solitons on second-order symmetric, and plane wave 4-dimensional Lorentzian manifolds
• A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
• Lorentzian geometry of the Heisenberg group
• Lorentz geometry of 4-dimensional nilpotent Lie groups
• Left-Invariant Pseudo-Einstein Metrics on Lie Groups
• Ricci soliton homogeneous nilmanifolds
• Lorentz Ricci solitons on 3-dimensional Lie groups

This page was built for publication: On Lorentzian Ricci solitons on nilpotent Lie groups