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Matematicheskie Trudy, 2008, Volume 11, Number 2, Pages 115–147 (Mi mt127)  
This article is cited in 22 scientific papers (total in 22 papers)

The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The unimodular case

A. G. Kremlyov, Yu. G. Nikonorov

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University
Full-text PDF (305 kB) Citations (22)
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Abstract: This paper gives a complete classification of the possible values of the signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups.
Key words: homogeneous Riemannian manifold, Lie algebra and group, left-invariant Riemannian metric, Ricci curvature.
Received: 14.05.2008
English version:
Siberian Advances in Mathematics, 2009, Volume 19, Issue 4, Pages 245–267
DOI: https://doi.org/10.3103/S1055134409040038
Bibliographic databases:
UDC: 514.765
Language: Russian
Citation: A. G. Kremlyov, Yu. G. Nikonorov, “The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The unimodular case”, Mat. Tr., 11:2 (2008), 115–147; Siberian Adv. Math., 19:4 (2009), 245–267
Citation in format AMSBIB
\Bibitem{KreNik08}
\by A.~G.~Kremlyov, Yu.~G.~Nikonorov
\paper The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The unimodular case
\jour Mat. Tr.
\yr 2008
\vol 11
\issue 2
\pages 115--147
\mathnet{http://mi.mathnet.ru/mt127}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500127}
\elib{https://elibrary.ru/item.asp?id=15307346}
\transl
\jour Siberian Adv. Math.
\yr 2009
\vol 19
\issue 4
\pages 245--267
\crossref{https://doi.org/10.3103/S1055134409040038}
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    Cycle of papers
    This publication is cited in the following 22 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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    Full-text PDF :158
    References:66
    First page:7
     
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