Neutral Metrics on Four-Dimensional Lie Groups

作者：Calvaruso Giovanni^*; Zaeim Amirhesam

来源：Journal of Lie Theory, 2015, 25(4): 1023-1044.

• Lie groups
• left-invariant metrics
• Einstein metrics
• Ricci-parallel metrics
• Ricci solitons

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.

• 出版日期2015