Geodesic
Einstein solvmanifolds are standard
Jorge Lauret1
1 FaMAF and CIEM<br/>Universidad Nacional de Córdoba<br/>Córdoba<br/>Argentina
Annals of mathematics, Tome 172 (2010) no. 3, pp. 1859-1877

Voir la notice de l'article provenant de la source Annals of Mathematics website

We study Einstein manifolds admitting a transitive solvable Lie group of isometries (solvmanifolds). It is conjectured that these exhaust the class of noncompact homogeneous Einstein manifolds. J. Heber has shown that under a simple algebraic condition (he calls such a solvmanifold standard), Einstein solvmanifolds have many remarkable structural and uniqueness properties. In this paper, we prove that any Einstein solvmanifold is standard, by applying a stratification procedure adapted from one in geometric invariant theory due to F. Kirwan.

DOI : 10.4007/annals.2010.172.1859

Jorge Lauret 1

1 FaMAF and CIEM<br/>Universidad Nacional de Córdoba<br/>Córdoba<br/>Argentina 
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Jorge Lauret. Einstein solvmanifolds are standard. Annals of mathematics, Tome 172 (2010) no. 3, pp. 1859-1877. doi: 10.4007/annals.2010.172.1859

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