Cubic differentials and finite volume convex projective surfaces

DOI10.2140/gt.2013.17.595zbMath1266.30030OpenAlexW2071992441MaRDI QIDQ1945759

Dominique Hulin, Yves Benoist

Publication date: 9 April 2013

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/gt.2013.17.595

zbMATH Keywords

hyperbolic Riemann surfacesconvex projective sufaces with nonabelian fundamental groupholomorphic cubic differential

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Other complex differential geometry (53C56) Affine differential geometry (53A15) Differentials on Riemann surfaces (30F30) Monge-Ampère equations (35J96)

Related Items (17)

Coordinates on the augmented moduli space of convex RP2 structures ⋮ The degeneration of convex ℝℙ²structures on surfaces ⋮ Completeness and incompleteness of the Binet-Legendre metric ⋮ Affine deformations of quasi‐divisible convex cones ⋮ McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential ⋮ Unmarked trace spectrum rigidity on strictly convex real projective surfaces ⋮ Poles of cubic differentials and ends of convex \(\mathbb{RP}^2\)-surfaces ⋮ Polynomial cubic differentials and convex polygons in the projective plane ⋮ Pseudo-Kähler geometry of properly convex projective structures on the torus ⋮ Primitive stable representations in higher rank semisimple Lie groups ⋮ Entropy rigidity and Hilbert volume ⋮ Geometric compactification of moduli spaces of half-translation structures on surfaces ⋮ Optimal inequalities between distances in convex projective domains ⋮ Entropy degeneration of convex projective surfaces ⋮ Projective Anosov representations, convex cocompact actions, and rigidity ⋮ Minimal Lagrangian connections on compact surfaces ⋮ Self-associated three-dimensional cones

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