THE DEFORMATION SPACES OF CONVEX RP²-STRUCTURES ON 2-ORBIFOLDS
By Suhyoung Choi, William M. Goldman. 2001
55 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/164eed8c948b1c88a8b4b2f1bc7196132848874a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Around groups in Hilbert Geometry (2013, methodology): “f dimension 8˜. Goldman shows this theorem for compact surfaces in [39]30 by extending Fenchel-Nielsen coordinates on Teichmuller space. Choi and Goldman extend this theorem to compact 2-orbifold in [24]. Finally, the author of this chapter extends Goldman’s theorem to the case of nite-volume surfac”