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

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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.
Publisher
SPRINGER
Issue Date
2006-04
Language
English
Article Type
Article
Keywords

CONVEX DECOMPOSITIONS; GEOMETRIC STRUCTURES; SURFACES; REPRESENTATIONS; MANIFOLDS; CONES

Citation

GEOMETRIAE DEDICATA, v.119, no.1, pp.69 - 90

ISSN
0046-5755
DOI
10.1007/s10711-006-9050-7
URI
http://hdl.handle.net/10203/7628
Appears in Collection
MA-Journal Papers(저널논문)
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