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

摘要

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