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

dc.contributor.author
Beltrán, Carlos
dc.contributor.author
de la Torre, Victor
dc.contributor.author
Lizarte, Fatima
dc.date.issued
2025-01-07T12:05:39Z
dc.date.issued
2025-01-07T12:05:39Z
dc.date.issued
2024-08-01
dc.date.issued
2025-01-07T12:05:39Z
dc.identifier
0926-2601
dc.identifier
https://hdl.handle.net/2445/217281
dc.identifier
751823
dc.description.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.
dc.format
15 p.
dc.format
application/pdf
dc.language
eng
dc.publisher
Springer Verlag
dc.relation
Reproducció del document publicat a: https://doi.org/10.1007/s11118-023-10108-2
dc.relation
Potential Analysis, 2024, vol. 61, num.2, p. 247-261
dc.relation
https://doi.org/10.1007/s11118-023-10108-2
dc.rights
cc by (c) Carlos Beltrán et al., 2024
dc.rights
http://creativecommons.org/licenses/by/3.0/es/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria del potencial (Matemàtica)
dc.subject
Superfícies de Riemann
dc.subject
Teoria de l'aproximació
dc.subject
Potential theory (Mathematics)
dc.subject
Riemann surfaces
dc.subject
Approximation theory
dc.title
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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