Geodesic
A nonhomogeneous orbit closure of a diagonal subgroup
François Maucourant1
1 Université Rennes I, Institut de Recherche Mathématique de Rennes, Campus de Beaulieu, F-35042 Rennes, France
Annals of mathematics, Tome 171 (2010) no. 1, pp. 557-570.

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

Let $G={\bf SL}l(n,\Bbb{R})$ with $n\geq 6$. We construct examples of lattices $\Gamma \subset G$, subgroups $A$ of the diagonal group $D$ and points $x\in G/\Gamma$ such that the closure of the orbit $Ax$ is not homogeneous and such that the action of $A$ does not factor through the action of a one-parameter nonunipotent group. This contradicts a conjecture of Margulis.
DOI : 10.4007/annals.2010.171.557

François Maucourant 1

1 Université Rennes I, Institut de Recherche Mathématique de Rennes, Campus de Beaulieu, F-35042 Rennes, France 
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François Maucourant. A nonhomogeneous orbit closure  of a diagonal subgroup. Annals of mathematics, Tome 171 (2010) no. 1, pp. 557-570. doi : 10.4007/annals.2010.171.557. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.557/

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