On separation of minimal Riesz energy points on spheres in Euclidean spaces
Abstract
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 {colon equals} { 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.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1016/j.cam.2005.04.074
Keywords
Generalized Thomson problem, Minimal energy, Riesz energy, Separation of mininmal energy points, Spherical potential
Publication Date
2-1-2007
Recommended Citation
Kuijlaars, A. B. J., E. B. Saff, and X. Sun. "On separation of minimal Riesz energy points on spheres in Euclidean spaces." Journal of computational and applied mathematics 199, no. 1 (2007): 172-180.
Journal Title
Journal of Computational and Applied Mathematics
