The bounds of rigid sphere design
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913279327076352 |
|---|---|
| author | Kamio, Yuhi |
| author_facet | Kamio, Yuhi |
| contents | We have identified some necessary conditions for the existence of rigid sphere designs. In particular, we have successfully resolved the conjecture proposed by [Ban87]; Given fixed positive integers t and d, we show that there exist only finitely many rigid t-designs on Sd, up to orthogonal transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The bounds of rigid sphere design Kamio, Yuhi Combinatorics 05B30 We have identified some necessary conditions for the existence of rigid sphere designs. In particular, we have successfully resolved the conjecture proposed by [Ban87]; Given fixed positive integers t and d, we show that there exist only finitely many rigid t-designs on Sd, up to orthogonal transformations. |
| title | The bounds of rigid sphere design |
| topic | Combinatorics 05B30 |
| url | https://arxiv.org/abs/2403.15514 |