Geometry & Topology
- Geom. Topol.
- Volume 17, Number 1 (2013), 595-620.
Cubic differentials and finite volume convex projective surfaces
We prove that there exists a natural bijection between the set of finite volume oriented convex projective surfaces with nonabelian fundamental group and the set of finite volume hyperbolic Riemann surfaces endowed with a holomorphic cubic differential with poles of order at most 2 at the cusps.
Geom. Topol., Volume 17, Number 1 (2013), 595-620.
Received: 12 May 2012
Accepted: 10 November 2012
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 30F30: Differentials on Riemann surfaces 35J96: Elliptic Monge-Ampère equations 53A15: Affine differential geometry 57M50: Geometric structures on low-dimensional manifolds 53C56: Other complex differential geometry [See also 32Cxx]
Benoist, Yves; Hulin, Dominique. Cubic differentials and finite volume convex projective surfaces. Geom. Topol. 17 (2013), no. 1, 595--620. doi:10.2140/gt.2013.17.595. https://projecteuclid.org/euclid.gt/1513732533