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Matematicheskie Trudy, 2013, Volume 16, Number 1, Pages 3–17 (Mi mt245)  
This article is cited in 2 scientific papers (total in 2 papers)

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

N. A. Abiev

Taraz State University named after M. Kh. Dulaty, Taraz, Kazakhstan
Full-text PDF (215 kB) Citations (2)
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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.
Key words: metric Lie algebra, Ricci operator, nonunimodilar solvable Lie algebras, two-step nilpotent Lie algebras.
Received: 25.06.2012
English version:
Siberian Advances in Mathematics, 2014, Volume 24, Issue 1, Pages 1–11
DOI: https://doi.org/10.3103/S1055134414010015
Bibliographic databases:
Document Type: Article
UDC: 514.765
Language: Russian
Citation: N. A. Abiev, “On the Ricci curvature of solvable metric lie algebras with two-step nilpotent derived algebras”, Mat. Tr., 16:1 (2013), 3–17; Siberian Adv. Math., 24:1 (2014), 1–11
Citation in format AMSBIB
\Bibitem{Abi13}
\by N.~A.~Abiev
\paper On the Ricci curvature of solvable metric lie algebras with two-step nilpotent derived algebras
\jour Mat. Tr.
\yr 2013
\vol 16
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru/mt245}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3156670}
\transl
\jour Siberian Adv. Math.
\yr 2014
\vol 24
\issue 1
\pages 1--11
\crossref{https://doi.org/10.3103/S1055134414010015}
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    • This publication is cited in the following 2 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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    References:61
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