Geodesic
On harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 1, pp. 29-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper studies three-dimensional Lie groups with left-invariant Lorentz metric and almost harmonic (i.e., having curl and divergence zero) Schouten–Weyl tensor. Moreover, by using the convolution of the Schouten-Weyl tensor in the direction of any vector, we define an antisymmetric $2$-tensor and study the structure of the three-dimensional Lie groups and algebras with left-invariant Lorentz metric for which this tensor is harmonic.
Keywords: Lie groups and algebras, left-invariant Lorentz metrics, harmonic tensor
Mots-clés : Schouten–Weyl tensor. 
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O. P. Gladunova; E. D. Rodionov; V. V. Slavskii. On harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 1, pp. 29-73. http://geodesic.mathdoc.fr/item/VNGU_2012_12_1_a3/

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