The Space of Strictly-convex Real-projective structures on a closed manifold
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866909935008219136 |
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| author | Cooper, Daryl Tillmann, Stephan |
| author_facet | Cooper, Daryl Tillmann, Stephan |
| contents | This is an expository proof that, if $M$ is a compact $n$-manifold with no boundary, then the set of holonomies of strictly-convex real-projective structures on $M$ is a subset of $\operatorname{Hom}(π_1M,\operatorname{PGL}(n+1,\mathbb R))$ that is both open and closed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_06582 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Space of Strictly-convex Real-projective structures on a closed manifold Cooper, Daryl Tillmann, Stephan Geometric Topology 57M50 This is an expository proof that, if $M$ is a compact $n$-manifold with no boundary, then the set of holonomies of strictly-convex real-projective structures on $M$ is a subset of $\operatorname{Hom}(π_1M,\operatorname{PGL}(n+1,\mathbb R))$ that is both open and closed. |
| title | The Space of Strictly-convex Real-projective structures on a closed manifold |
| topic | Geometric Topology 57M50 |
| url | https://arxiv.org/abs/2009.06582 |