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Matematicheskie Trudy, 2009, Volume 12, Number 1, Pages 40–116 (Mi mt175)  
This article is cited in 19 scientific papers (total in 19 papers)

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

A. G. Kremlyov, Yu. G. Nikonorov

Rubtsovsk Industrial Intitute, Rubtsovsk, Russia
Full-text PDF (535 kB) Citations (19)
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Abstract: We obtain a complete classification of all the possible values of the signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional nonunimodular Lie groups.
Key words: homogeneous Riemannian manifold, Lie algebra, Lie group, left-invariant Riemannian metric, Ricci curvature.
Received: 16.07.2008
English version:
Siberian Advances in Mathematics, 2010, Volume 20, Issue 1, Pages 1–57
DOI: https://doi.org/10.3103/S1055134410010013
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 nonunimodular case”, Mat. Tr., 12:1 (2009), 40–116; Siberian Adv. Math., 20:1 (2010), 1–57
Citation in format AMSBIB
\Bibitem{KreNik09}
\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 nonunimodular case
\jour Mat. Tr.
\yr 2009
\vol 12
\issue 1
\pages 40--116
\mathnet{http://mi.mathnet.ru/mt175}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2569648}
\elib{https://elibrary.ru/item.asp?id=15313337}
\transl
\jour Siberian Adv. Math.
\yr 2010
\vol 20
\issue 1
\pages 1--57
\crossref{https://doi.org/10.3103/S1055134410010013}
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