The deformation spaces of convex RP^2-structures on 2-orbifolds
Geometric Topology
2011-07-12 v2 Group Theory
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.math/0107193,
title = {The deformation spaces of convex RP^2-structures on 2-orbifolds},
author = {Suhyoung Choi and William Goldman},
journal= {arXiv preprint arXiv:math/0107193},
year = {2011}
}
Comments
77 pages, 31 figures