Journal of Differential Geometry

Composantes de Hitchin et représentations hyperconvexes de groupes de surface

Olivier Guichard

Full-text: Open access

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.

Article information

Source
J. Differential Geom., Volume 80, Number 3 (2008), 391-431.

Dates
First available in Project Euclid: 7 November 2008

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1226090482

Digital Object Identifier
doi:10.4310/jdg/1226090482

Mathematical Reviews number (MathSciNet)
MR2472478

Zentralblatt MATH identifier
1223.57015

Citation

Guichard, Olivier. Composantes de Hitchin et représentations hyperconvexes de groupes de surface. J. Differential Geom. 80 (2008), no. 3, 391--431. doi:10.4310/jdg/1226090482. https://projecteuclid.org/euclid.jdg/1226090482


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