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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.02053 |
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| _version_ | 1866917065942630400 |
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| author | Falbel, Elisha Mion-Mouton, Martin |
| author_facet | Falbel, Elisha Mion-Mouton, Martin |
| contents | In this paper, we introduce a notion of geometric surgery for flag structures, which are geometric structures locally modelled on the three-dimensional flag space under the action of ${\mathrm{PGL}}_3(\mathbb{R})$. Using such surgeries we provide examples of flag structures, of both uniformizable and non-uniformizable type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02053 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric surgeries of three-dimensional flag structures and non-uniformizable examples Falbel, Elisha Mion-Mouton, Martin Differential Geometry In this paper, we introduce a notion of geometric surgery for flag structures, which are geometric structures locally modelled on the three-dimensional flag space under the action of ${\mathrm{PGL}}_3(\mathbb{R})$. Using such surgeries we provide examples of flag structures, of both uniformizable and non-uniformizable type. |
| title | Geometric surgeries of three-dimensional flag structures and non-uniformizable examples |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.02053 |