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., 2009, Volume 12, Number 1,Pages <nobr>40

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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

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.

UDC: 514.765

Received: 16.07.2008