2006Unpublished venueRequires access

Deformation spaces of real projective structures on Coxeter 3-orbifolds (with some survey)

Suhyoung Choi

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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 SL±(4,R) and deformation spaces. • These examples give us nontrivial deformation spaces of projective structures.

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What this paper is about

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. • These examples give us nontrivial deformation spaces of projective structures.

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Available 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. • These examples give us nontrivial deformation spaces of projective structures.

Key concepts: Orbifold, Coxeter group, Mathematics, Pure mathematics, Projective test, Deformation (meteorology), Projective space, Collineation

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