On separation of minimal Riesz energy points on spheres in Euclidean spaces

Let Sd denote the unit sphere in the Euclidean space Rd + 1 (d ≥ 1). Let N be a natural number (N≥ 2), and let ωN := {x1,...,xN} be a collection of N distinct points on Sd on which the minimal Riesz s-energy is attained. In this paper, we show that the points x1,...,xN are well-separated for the cases d - 1 ≤ s < d.

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