Geodesic
Neutral Metrics on Four-Dimensional Lie Groups
Giovanni Calvaruso1 ; Amirhesam Zaeim2
1Dip. di Matematica e Fisica, Università del Salento, 73100 Lecce, Italy
2Dept. of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
Journal of Lie Theory, Tome 25 (2015) no. 4, pp. 1023-1044

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Giovanni Calvaruso  1   ; Amirhesam Zaeim  2

1 Dip. di Matematica e Fisica, Università del Salento, 73100 Lecce, Italy
2 Dept. of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran 
Giovanni Calvaruso; Amirhesam 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/JOLT_2015_25_4_a4/
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     title = {Neutral {Metrics} on {Four-Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1023--1044},
     year = {2015},
     volume = {25},
     number = {4},
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