%0 Journal Article
%T Projective Deformations of Hyperbolic Coxeter 3-Orbifolds
%A Suhyoung Choi
%A Craig D. Hodgson
%A Gye-Seon Lee
%J Mathematics
%D 2010
%I arXiv
%X By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds or manifolds provide examples of real projective structures. By Andreev's theorem, many 3-dimensional reflection orbifolds admit a finite volume hyperbolic structure, and such a hyperbolic structure is unique. However, the induced real projective structure on some such 3-orbifolds deforms into a family of real projective structures that are not induced from hyperbolic structures. In this paper, we find new classes of compact and complete hyperbolic reflection 3-orbifolds with such deformations. We also explain numerical and exact results on projective deformations of some compact hyperbolic cubes and dodecahedra.
%U http://arxiv.org/abs/1003.4352v1