Comptes Rendus
no. 1
Differential Geometry
Einstein solvmanifolds and graphs
[Solvariétés d'Einstein et graphes]

Présenté par : Étienne Ghys

Hamid-Reza Fanaï1, 2
1 Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran
2 Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran
Comptes Rendus. Mathématique, Volume 344 (2007) no. 1, pp. 37-39.

Dans cette Note, nous obtenons des solvariétés d'Einstein par extension abélienne des algèbres de Lie nilpotentes de rang deux associées à des graphes.

In this Note, we obtain Einstein solvmanifolds using Abelian extension of two-step nilpotent Lie algebras associated with graphs.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.11.010
Hamid-Reza Fanaï 1, 2

1 Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran
2 Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran 
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Hamid-Reza Fanaï. Einstein solvmanifolds and graphs. Comptes Rendus. Mathématique, Volume 344 (2007) no. 1, pp. 37-39. doi : 10.1016/j.crma.2006.11.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.11.010/

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[6] D. Kass-Hengesch, Exemples de variétés homogènes d'Einstein à courbure scalaire négative, Thèse de Doctorat, Université Henri Poincaré-Nancy I, France, 1996

[7] M. Lanzendorf Einstein metrics with nonpositive sectional curvature on extensions of Lie algebra of Heisenberg type, Geom. Dedicata, Volume 66 (1997), pp. 187-202

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