Geodesic
On the Ricci curvature of solvable metric lie algebras with two-step nilpotent derived algebras
Matematičeskie trudy, Tome 16 (2013) no. 1, pp. 3-17

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We prove that the Ricci operator of any nonunimoular solvable metric Lie algebra having a two-step nilpotent derived Lie algebra of dimension 6 has at least two negative eigenvalues. 
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     author = {N. A. Abiev},
     title = {On the {Ricci} curvature of solvable metric lie algebras with two-step nilpotent derived algebras},
     journal = {Matemati\v{c}eskie trudy},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/MT_2013_16_1_a0/}
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N. A. Abiev. On the Ricci curvature of solvable metric lie algebras with two-step nilpotent derived algebras. Matematičeskie trudy, Tome 16 (2013) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/MT_2013_16_1_a0/