Geodesic
Four-dimensional metric Lie groups with zero Schouten--Weyl tensor
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 271-330

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In this paper we investigate a left-invariant (pseudo)Riemannian metrics on four-dimensional Lie groups with zero Schouten–Weyl tensor. A complete classification of metric Lie algebras of such Lie groups is obtained.
Keywords: left-invariant (pseudo)Riemannian metrics, Lie groups, Ricci operator, Segre types.
Mots-clés : Schouten–Weyl tensor 
@article{SEMR_2019_16_a50,
     author = {P. N. Klepikov},
     title = {Four-dimensional metric {Lie} groups with zero {Schouten--Weyl} tensor},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {271--330},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a50/}
}
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P. N. Klepikov. Four-dimensional metric Lie groups with zero Schouten--Weyl tensor. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 271-330. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a50/