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The Deformation Spaces of Projective Structures on 3-Dimensional Coxeter Orbifolds
Authors:Suhyoung Choi
Institution:(1) Department of Mathematics, KAIST, 305-701 Daejeon, Korea
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 $${\rm SL}_{\pm} (4, \mathbb{R})$$ and deformation spaces. There are related examples by Benoist. These examples give us nontrivial deformation spaces of projective structures.
Keywords:Real projective structure  Orbifold  Moduli space  Representation of groups
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