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| Content Provider | Springer Nature Link |
|---|---|
| Author | Marquis, Ludovic |
| Copyright Year | 2009 |
| Abstract | A projective mirror polyhedron is a projective polyhedron endowed with reflections across its faces. We construct an explicit diffeomorphism between the moduli space of a mirror projective polyhedron with fixed dihedral angles in $${(0,\frac{\pi}{2}]}$$ , and the union of n copies of $${\mathbb{R}^{d}}$$ , when the polyhedron has the combinatorics of an ecimahedron, an infinite class of combinatorial polyhedra we introduce here. Moreover, the integers n and d can be computed explicitly in terms of the combinatorics and the fixed dihedral angles. |
| Ending Page | 86 |
| Page Count | 40 |
| Starting Page | 47 |
| File Format | |
| ISSN | 00465755 |
| e-ISSN | 15729168 |
| Journal | Geometriae Dedicata |
| Issue Number | 1 |
| Volume Number | 147 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2009-11-25 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Divisible convex Geometry Coxeter groups Reflection and Coxeter groups Geometric structures on low-dimensional manifolds Moduli space Discrete subgroups of Lie groups Polyedron Projective geometry General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| Content Type | Text |
| Resource Type | Article |
| Subject | Geometry and Topology |
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