Discrete and Continuous Green Energy on Compact Manifolds

2017/02/02 by Carlos Beltrán, Beltrán, Carlos, Nuria Corral +3 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1702.00864

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.

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