Journal of Lie Theory

no. 4
Neutral Metrics on Four-Dimensional Lie Groups
Journal of Lie Theory, Volume 25 (2015) no. 4, pp. 1023-1044
We consider four-dimensional Lie groups equipped with left-invariant metrics of signature (2,2). After describing the general structure of four-dimensional Lie algebras with a neutral inner product, we obtain a complete classification of left-invariant Einstein and Ricci-parallel metrics of neutral signature.
DOI: 10.5802/jolt.870
Classification: 53C50, 53C15, 53C25
Keywords: Lie groups, left-invariant metrics, Einstein metrics, Ricci-parallel metrics, Ricci solitons 
@article{JOLT_2015_25_4_a4,
     author = {G. Calvaruso and A. Zaeim},
     title = {Neutral {Metrics} on {Four-Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1023--1044},
     year = {2015},
     volume = {25},
     number = {4},
     doi = {10.5802/jolt.870},
     zbl = {1343.53071},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.870/}
}
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G. Calvaruso; A. Zaeim. Neutral Metrics on Four-Dimensional Lie Groups. Journal of Lie Theory, Volume 25 (2015) no. 4, pp. 1023-1044. doi: 10.5802/jolt.870

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