The deformation spaces of projective structures on 3-dimensional Coxeter orbifolds

Abstract

A real projective structure on a 3-orbifold is given by locally modeling the orbifold by real projective geometry. We present some methodology to study Coxeter groups which are fundamental groups of 3-orbifolds with representations in SL +/- (4, R) and deformation spaces. There are related examples by Benoist. These examples give us nontrivial deformation spaces of projective structures.