We consider four-dimensional Lie groups equipped with left-invariant met- rics of signature (2; 2). After describing the general structure of four-dimensional Lie algebras with a neutral inner product, a complete classication of left-invariant Einstein and Ricci-parallel metrics of neutral signature is obtained.
Neutral metrics on four-dimensional Lie groups
CALVARUSO, Giovanni;
2015-01-01
Abstract
We consider four-dimensional Lie groups equipped with left-invariant met- rics of signature (2; 2). After describing the general structure of four-dimensional Lie algebras with a neutral inner product, a complete classication of left-invariant Einstein and Ricci-parallel metrics of neutral signature is obtained.File in questo prodotto:
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