On the existence and non-existence of spherical $m$-stiff configurations

Eiichi Bannai, Hirotake Kurihara, Hiroshi Nozaki

This paper investigates the existence of $m$-stiff configurations in the unit sphere $S^{d-1}$, which are spherical $(2m-1)$-designs that lie on $m$ parallel hyperplanes. We establ…