The bounds of rigid sphere design
Combinatorics
2024-03-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2403.15514,
title = {The bounds of rigid sphere design},
author = {Yuhi Kamio},
journal= {arXiv preprint arXiv:2403.15514},
year = {2024}
}
Comments
2 pages,comments welcome