Geodesic
Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten–Weyl tensor
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2017), pp. 92-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we investigate metrics on Lie groups with zero Schouten–Weyl tensor. We obtain a complete classification of metric Lie algebras of such Lie groups.
Keywords: left-invariant pseudo-Riemannian metrics, Lie groups, Ricci operator, Segre types.
Mots-clés : Schouten–Weyl tensor 
@article{IVM_2017_8_a9,
     author = {P. N. Klepikov},
     title = {Left-invariant {pseudo-Riemannian} metrics on four-dimensional {Lie} groups with nonzero {Schouten{\textendash}Weyl} tensor},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {92--97},
     year = {2017},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_8_a9/}
}
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P. N. Klepikov. Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten–Weyl tensor. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2017), pp. 92-97. http://geodesic.mathdoc.fr/item/IVM_2017_8_a9/

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