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Matematicheskie Trudy, 2010, Volume 13, Number 1, Pages 186–211 (Mi mt196)  
This article is cited in 6 scientific papers (total in 6 papers)

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

M. S. Chebarykov

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University, Rubtsovsk, Russia
Full-text PDF (254 kB) Citations (6)
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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.
Key words: homogeneous Riemannian manifold, Lie algebra, Lie group, left-invariant Riemannian metric, the Ricci curvature.
Received: 01.06.2009
English version:
Siberian Advances in Mathematics, 2011, Volume 21, Issue 2, Pages 81–99
DOI: https://doi.org/10.3103/S1055134411020015
Bibliographic databases:
Document Type: Article
UDC: 514.765
Language: Russian
Citation: M. S. Chebarykov, “On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension”, Mat. Tr., 13:1 (2010), 186–211; Siberian Adv. Math., 21:2 (2011), 81–99
Citation in format AMSBIB
\Bibitem{Che10}
\by M.~S.~Chebarykov
\paper On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension
\jour Mat. Tr.
\yr 2010
\vol 13
\issue 1
\pages 186--211
\mathnet{http://mi.mathnet.ru/mt196}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682773}
\elib{https://elibrary.ru/item.asp?id=14646026}
\transl
\jour Siberian Adv. Math.
\yr 2011
\vol 21
\issue 2
\pages 81--99
\crossref{https://doi.org/10.3103/S1055134411020015}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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