Geodesic
On half conformally flat 4-dimensional Lie groups
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 3, pp. 3-16

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Classification of half conformally flat Lie algebras of real four-dimensional Lie groups with left-invariant Riemannian metrics is given. 
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     title = {On half conformally flat 4-dimensional {Lie} groups},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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O. P. Gladunova; E. D. Rodionov; V. V. Slavskii. On half conformally flat 4-dimensional Lie groups. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 3, pp. 3-16. http://geodesic.mathdoc.fr/item/VMJ_2011_13_3_a0/