The paper re-proves known theorems of Sinajova, Rankin, and Kuperberg on spherical point configurations using spherical Euclidean distance matrices and the Perron-Frobenius theorem, though one proof has a gap.
Lov´ asz.Graphs and Geometry
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On Theorems of Sinajova, Rankin and Kuperberg Concerning Spherical Point Configurations
The paper re-proves known theorems of Sinajova, Rankin, and Kuperberg on spherical point configurations using spherical Euclidean distance matrices and the Perron-Frobenius theorem, though one proof has a gap.