Lower bound for the Green energy of point configurations in harmonic manifolds
Carlos Beltr\'an, V\'ictor de la Torre, F\'atima Lizarte
TL;DR
This paper establishes the most precise lower bounds to date for the minimal Green energy of point configurations on compact harmonic manifolds across all dimensions.
Contribution
It provides the sharpest known lower bounds for Green energy on compact harmonic manifolds, advancing understanding of energy minimization in geometric analysis.
Findings
Derived sharp lower bounds for Green energy
Applicable to harmonic manifolds of any dimension
Enhances previous energy minimization results
Abstract
In this paper, we get the sharpest known to date lower bounds for the minimal Green energy of the compact harmonic manifolds of any dimension.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Computational Geometry and Mesh Generation · Mathematical Approximation and Integration