The deformation spaces of convex RP^2-structures on 2-orbifolds

Abstract

We determine that the deformation space of convex real projective structures, that is, projectively flat torsion-free connections with the geodesic convexity property on a compact 2-orbifold of negative Euler characteristic is homeomorphic to a cell of certain dimension. The basic techniques are from Thurston's lecture notes on hyperbolic 2-orbifolds, and the previous work of Goldman on convex real projective structures on surfaces.

77 pages, 31 figures

References in corpus (1)

• The virtual Haken conjecture: Experiments and examples

Cited by in corpus (2)

• Dual Teichmuller and lamination spaces
• Moduli spaces of convex projective structures on surfaces