Spiderwebs on the Sphere and an Isoperimetric Theorem
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913863905050624 |
|---|---|
| author | Connelly, Robert Zhang, Zhen |
| author_facet | Connelly, Robert Zhang, Zhen |
| contents | Here we present a rigidity result in a global (semi-global, homotopy) setting for a restrictive class of polytopes, those that can be inscribed in a unit sphere, with some additional conditions. The proof of the rigidity result for cabled frameworks on the surface of the sphere uses classical isoperimetric ideas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spiderwebs on the Sphere and an Isoperimetric Theorem Connelly, Robert Zhang, Zhen Metric Geometry 52C25, 52C07, 51FXX Here we present a rigidity result in a global (semi-global, homotopy) setting for a restrictive class of polytopes, those that can be inscribed in a unit sphere, with some additional conditions. The proof of the rigidity result for cabled frameworks on the surface of the sphere uses classical isoperimetric ideas. |
| title | Spiderwebs on the Sphere and an Isoperimetric Theorem |
| topic | Metric Geometry 52C25, 52C07, 51FXX |
| url | https://arxiv.org/abs/2505.22336 |