Discrete and Continuous Green Energy on Compact Manifolds
Differential Geometry
2017-02-06 v1 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1702.00864,
title = {Discrete and Continuous Green Energy on Compact Manifolds},
author = {Carlos Beltrán and Nuria Corral and Juan G. Criado del Rey},
journal= {arXiv preprint arXiv:1702.00864},
year = {2017}
}
Comments
25 pages, 1 figure. arXiv admin note: text overlap with arXiv:1607.07610