Convex projective structures on nonhyperbolic three-manifolds
Y. Benoist proved that if a closed three-manifold M admits an indecomposable convex real projective structure, then M is topologically the union along tori and Klein bottles of finitely many sub-manifolds each of which admits a complete finite volume hyperbolic structure on its interior. We describe...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 March 2018
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| In: |
Geometry & topology
Year: 2018, Volume: 22, Issue: 3, Pages: 1593-1646 |
| ISSN: | 1364-0380 |
| DOI: | 10.2140/gt.2018.22:3 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.2140/gt.2018.22:3 Verlag, Volltext: https://msp.org/gt/2018/22-3/p08.xhtml 
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| Author Notes: | Samuel A Ballas, Jeffrey Danciger, Gye-Seon Lee |
| Summary: | Y. Benoist proved that if a closed three-manifold M admits an indecomposable convex real projective structure, then M is topologically the union along tori and Klein bottles of finitely many sub-manifolds each of which admits a complete finite volume hyperbolic structure on its interior. We describe some initial results in the direction of a potential converse to Benoist's theorem. |
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| Physical Description: | Online Resource |
| ISSN: | 1364-0380 |
| DOI: | 10.2140/gt.2018.22:3 |