Convex foliated projective structures and the Hitchin component for \({\text{PSL}}_4(\mathbf{R})\)

DOI10.1215/00127094-2008-040zbMath1148.57027arXivmath/0702184OpenAlexW1965521857MaRDI QIDQ943563

Olivier Guichard, Anna Wienhard

Publication date: 9 September 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702184

zbMATH Keywords

projective structureunit tangent bundleHitchin componentrepresentation variety of a Riemann surface

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50)

Related Items (13)

Positivity and higher Teichmüller theory ⋮ Anosov representations: domains of discontinuity and applications. ⋮ Balanced ideals and domains of discontinuity of Anosov representations ⋮ Working session: Higher rank Teichmüller theory. Abstracts from the working session held October 9--14, 2022 ⋮ Degeneration of Hitchin representations along internal sequences ⋮ Hitchin components for orbifolds ⋮ Length spectrum compactification of the \(\mathrm{SO}_0(2, 3)\)-Hitchin component ⋮ Proper quasi-homogeneous domains in flag manifolds and geometric structures ⋮ Rigidity of convex divisible domains in flag manifolds ⋮ Cyclic surfaces and Hitchin components in rank 2 ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Higgs bundles and higher Teichmüller spaces

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