Geodesic
On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension
Matematičeskie trudy, Tome 13 (2010) no. 1, pp. 186-211.

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The Ricci curvature of solvable metric Lie algebras is studied. In particular, we prove that the Ricci operator of any metric nonunimodular solvable Lie algebra of dimension not exceeding 6 has at least two negative eigenvalues, that generalizes the known results. 
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M. S. Chebarykov. On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension. Matematičeskie trudy, Tome 13 (2010) no. 1, pp. 186-211. http://geodesic.mathdoc.fr/item/MT_2010_13_1_a8/

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