Geodesic
Neutral Metrics on Four-Dimensional Lie Groups
Journal of Lie theory, Tome 25 (2015) no. 4, pp. 1023-1044
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We consider four-dimensional Lie groups equipped with left-invariant metrics of signature (2,2). After describing the general structure of four-dimensional Lie algebras with a neutral inner product, we obtain a complete classification of left-invariant Einstein and Ricci-parallel metrics of neutral signature.
Classification : 53C50, 53C15, 53C25
Mots-clés : Lie groups, left-invariant metrics, Einstein metrics, Ricci-parallel metrics, Ricci solitons 
@article{JLT_2015_25_4_JLT_2015_25_4_a4,
     author = {G. Calvaruso and A. Zaeim},
     title = {Neutral {Metrics} on {Four-Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {1023--1044},
     year = {2015},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_4_JLT_2015_25_4_a4/}
}
TY  - JOUR
AU  - G. Calvaruso
AU  - A. Zaeim
TI  - Neutral Metrics on Four-Dimensional Lie Groups
JO  - Journal of Lie theory
PY  - 2015
SP  - 1023
EP  - 1044
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JLT_2015_25_4_JLT_2015_25_4_a4/
ID  - JLT_2015_25_4_JLT_2015_25_4_a4
ER  - 
%0 Journal Article
%A G. Calvaruso
%A A. Zaeim
%T Neutral Metrics on Four-Dimensional Lie Groups
%J Journal of Lie theory
%D 2015
%P 1023-1044
%V 25
%N 4
%U http://geodesic.mathdoc.fr/item/JLT_2015_25_4_JLT_2015_25_4_a4/
%F JLT_2015_25_4_JLT_2015_25_4_a4
G. Calvaruso; A. Zaeim. Neutral Metrics on Four-Dimensional Lie Groups. Journal of Lie theory, Tome 25 (2015) no. 4, pp. 1023-1044. http://geodesic.mathdoc.fr/item/JLT_2015_25_4_JLT_2015_25_4_a4/