DISCRETE AND CONTINUOUS GREEN ENERGY ON COMPACT MANIFOLD
A natural way to distribute a number of points in a compact Riemannian manifold is to consider their Green energy. This is the sum of the Green function applied to each pair of points.
In this paper we prove that the discrete mesure associated to points minimizing the Green energy approaches the uniform measure. We also prove a number of results, useful for the study of the Green function in general manifolds, and explicit formulas for symmetric spaces.
Based on a paper by Carlos Beltrán Nuria Corral and Juan G. Criado del Rey
Published in Journal of Approximation Theory.