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The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 127, Number 5, October 2005
- pp. 1019-1102
- 10.1353/ajm.2005.0031
- Article
- Additional Information
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, the previous work of Goldman on convex real projective structures on surfaces, and some classical geometry.