The Ricci operator of completely solvable metric lie algebras |
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| Authors: | M. S. Chebarykov Yu. G. Nikonorov |
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| Affiliation: | 1. Rubtsovsk Industrial Institute, Rubtsovsk, 658207, Russia
2. Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS, Vladikavkaz, 362027, Russia
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| Abstract: | We study the Ricci curvature of completely solvablemetric Lie algebras. In particular,we prove that the Ricci operator of every completely solvable nonunimodular or every noncommutative nilpotent metric Lie algebra has at least two negative eigenvalues. |
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