Abstract
We show that the notion of hyperconvex representation due to F. Labourie gives a geometric characterization of the representations of a surface group in $\rm{PSL}_n(\mathbf{R})$ that belong to the Hitchin component.
Citation
Olivier Guichard. "Composantes de Hitchin et représentations hyperconvexes de groupes de surface." J. Differential Geom. 80 (3) 391 - 431, November 2008. https://doi.org/10.4310/jdg/1226090482
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