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

Voir la notice de l'article provenant de la source Math-Net.Ru

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--Weyl} tensor},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {92--97},
     publisher = {mathdoc},
     number = {8},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_8_a9/}
}
TY  - JOUR
AU  - P. N. Klepikov
TI  - Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten--Weyl tensor
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2017
SP  - 92
EP  - 97
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2017_8_a9/
LA  - ru
ID  - IVM_2017_8_a9
ER  - 
%0 Journal Article
%A P. N. Klepikov
%T Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten--Weyl tensor
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2017
%P 92-97
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2017_8_a9/
%G ru
%F IVM_2017_8_a9
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/