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On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension

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Abstract

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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Authors and Affiliations

  1. Rubtsovsk Industrial Institute, Rubtsovsk, 658207, Russia

    M. S. Chebarykov

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  1. M. S. Chebarykov
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Correspondence to M. S. Chebarykov.

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Original Russian Text © M. S. Chebarykov, 2010, published in Matematicheskie Trudy, 2010, Vol. 13, No. 1, pp. 186–211.

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Chebarykov, M.S. On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension. Sib. Adv. Math. 21, 81–99 (2011). https://doi.org/10.3103/S1055134411020015

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