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Publication date

2024-08-01

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cc by (c) Carlos Beltrán et al., 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217281

Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds

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https://doi.org/10.1007/s11118-023-10108-2

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. Our proof generalizes previous ad-hoc arguments for the most basic harmonic manifold, i.e. the sphere, extending it to the general case and remarkably simplifying both the conceptual approach and the computations.

Subject

Teoria del potencial (Matemàtica), Superfícies de Riemann, Teoria de l'aproximació

Subject (English)

Potential theory (Mathematics), Riemann surfaces, Approximation theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

BELTRÁN, Carlos, DE LA TORRE, Victor and LIZARTE, Fatima. Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds. Potential Analysis. 2024. Vol. 61, num. 2, pags. 247-261. ISSN 0926-2601. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/217281

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