Killing's equations for invariant metrics on Lie groups

DOI10.3934/jgm.2011.3.323zbMath1243.22018OpenAlexW2025815761MaRDI QIDQ429052

Firas Hindeleh, Gerard Thompson

Publication date: 25 June 2012

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2011.3.323

zbMATH Keywords

Lie algebraLie groupKilling vector fieldinvariant Riemannian metric

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Lie algebras of Lie groups (22E60) Topological transformation groups (57S99) Methods of local Riemannian geometry (53B21)

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Invariant metrics on Lie groups, Sectional and Ricci curvature for three-dimensional Lie groups