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arXiv · 1910.02715

Kissing number in spherical space

Maria Dostert·Alexander Kolpakov
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Abstract

This paper investigates the behaviour of the kissing number $κ(n, r)$ of congruent radius $r > 0$ spheres in $\mathbb{S}^n$, for $n\geq 2$. Such a quantity depends on the radius $r$, and we plot the approximate graph of $κ(n, r)$ with relatively high accuracy by using new upper and lower bounds that are produced via semidefinite programming and by using spherical codes, respectively.

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Maria Dostert, Alexander Kolpakov. 2020-03-08. Kissing number in spherical space. https://arxiv.org/abs/1910.02715

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