Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields

DOI10.5802/CRMATH.23zbMath1444.53037OpenAlexW3035521722WikidataQ115158963 ScholiaQ115158963MaRDI QIDQ784347

Zhiqi Chen, Hui Zhang

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.23

zbMATH Keywords

Killing vector fieldsconformal vector fieldsLorenztian Lie groupspseudo-Riemannian Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Lie algebras of Lie groups (22E60)

Related Items (4)

The classification of Lorentzian Lie groups with non‐Killing left‐invariant conformal vector fields ⋮ Conformal vector fields on Lie groups: the trans-Lorentzian signature ⋮ Left-invariant conformal vector fields on non-solvable Lie groups ⋮ Lie groups with conformal vector fields induced by derivations

Cites Work

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• On conformal solutions of the Yamabe flow
• The geometry of closed conformal vector fields on Riemannian spaces
• A note on compact gradient Yamabe solitons
• Selfsimilar Lorentzian manifolds
• About pseudo-Riemannian Lichnerowicz conjecture
• The action of conformal transformations on a Riemannian manifold
• Three-dimensional homogeneous Lorentzian Yamabe solitons
• On the structure of gradient Yamabe solitons
• Conformally homogeneous Lorentz manifolds. II
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• A Note on Automorphisms and Derivations of Lie Algebras

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