On the Ricci curvature of solvable metric lie algebras with two-step nilpotent derived algebras

2014

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DOI 10.3103/s1055134414010015
Data confidence 70 medium
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Abstract

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.