Lower bound for the green energy of point configurations in harmonic manifolds

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URI: https://hdl.handle.net/10902/33802
ISSN: 0926-2601
ISSN: 1572-929X
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Autoría
Beltrán Álvarez, CarlosAutoridad Unican; Torre, Víctor de la; Lizarte López, Fátima
Fecha
2024-08
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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
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Potential Analysis, 2024, 61(2), 247-261
Editorial
Springer Nature
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Palabras clave
Green energy
Energy minimization
Compact harmonic manifolds
Two-point homogeneous manifolds
Resumen/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.
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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.