The Deformation Spaces of Projective Structures on 3-Dimensional Coxeter Orbifolds

Author: Choi Suhyoung  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.119, Iss.1, 2006-04, pp. : 69-90

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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 and deformation spaces. There are related examples by Benoist. These examples give us nontrivial deformation spaces of projective structures.