A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups

DOI10.1016/j.geomphys.2012.03.003zbMath1361.17002OpenAlexW2048587246WikidataQ115353223 ScholiaQ115353223MaRDI QIDQ423689

Zhiqi Chen, Dongping Hou, Cheng-Ming Bai

Publication date: 4 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.03.003

zbMATH Keywords

affine structureleft invariant metricleft-symmetric algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Lie algebras of Lie groups (22E60) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items (2)

Invariant metrics on Lie groups ⋮ Six-dimensional Lie-Einstein metrics

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