The bounds of rigid sphere design

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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.

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Yuhi Kamio (Fri,) studied this question.

synapsesocial.com/papers/68e72f5cb6db6435876a8d49 https://doi.org/https://doi.org/10.48550/arxiv.2403.15514

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