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About invariant tensor fields on low dimensional Lie groups
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 2, pp. 3-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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Complete classification of possible signatures of the one dimensional curvature operator on three dimensional Lie groups with left-invariant Riemannian metric and complete classification of four-dimensional Lie algebras (up to isomorphism) of Lie groups with left-invariant Riemannian metrics and harmonic Weyl tensor are given in this paper. 
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D. S. Voronov; O. P. Gladunova; E. D. Rodionov; V. V. Slavskii. About invariant tensor fields on low dimensional Lie groups. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 2, pp. 3-30. http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a0/

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