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

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

2001-07-27

arxiv.org/abs/math/0107193v2

Amer. J. Math. 127 (2005), no. 5, 1019-1102

Mathematics

Geometric Topology

77 pages, 31 figures

Scientific paper

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.

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