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Matematicheskie Trudy, 2012, Volume 15, Number 2, Pages 146–158 (Mi mt244)  
This article is cited in 2 scientific papers (total in 2 papers)

The Ricci operator of completely solvable metric Lie algebras

Yu. G. Nikonorova, M. S. Chebarykovb

a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b Rubtsovsk Industrial Intitute, Branch of Altai State Technical University, Rubtsovsk, Russia
Full-text PDF (214 kB) Citations (2)
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Abstract: We study the Ricci curvature of completely solvable metric 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.
Key words: nonhomogeneous Riemannian manifolds, Lie group and algebras, completely solvable Lie algebras, left-invariant Riemannian metrics, Ricci curvature.
Received: 07.11.2011
English version:
Siberian Advances in Mathematics, 2014, Volume 24, Issue 1, Pages 18–25
DOI: https://doi.org/10.3103/S1055134414010039
Bibliographic databases:
Document Type: Article
UDC: 514.765
Language: Russian
Citation: Yu. G. Nikonorov, M. S. Chebarykov, “The Ricci operator of completely solvable metric Lie algebras”, Mat. Tr., 15:2 (2012), 146–158; Siberian Adv. Math., 24:1 (2014), 18–25
Citation in format AMSBIB
\Bibitem{NikChe12}
\by Yu.~G.~Nikonorov, M.~S.~Chebarykov
\paper The Ricci operator of completely solvable metric Lie algebras
\jour Mat. Tr.
\yr 2012
\vol 15
\issue 2
\pages 146--158
\mathnet{http://mi.mathnet.ru/mt244}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3074460}
\elib{https://elibrary.ru/item.asp?id=18076208}
\transl
\jour Siberian Adv. Math.
\yr 2014
\vol 24
\issue 1
\pages 18--25
\crossref{https://doi.org/10.3103/S1055134414010039}
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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:82
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