Discrete and Continuous Green Energy on Compact Manifolds
Carlos Beltrán, Nuria Corral, Juan G. Criado del Rey · arXiv (Cornell University) · 2017
In this article we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove that a sequence of minimizers for the Green energy is asymptotically uniformly distributed. We pay special attention to the case of locally harmonic manifolds.