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

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dc.contributor.authorBeltrán, Carlos
dc.contributor.authorde la Torre, Victor
dc.contributor.authorLizarte, Fatima
dc.date.accessioned2025-01-07T12:05:39Z
dc.date.available2025-01-07T12:05:39Z
dc.date.issued2024-08-01
dc.date.updated2025-01-07T12:05:39Z
dc.description.abstractIn 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.extent15 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec751823
dc.identifier.issn0926-2601
dc.identifier.urihttps://hdl.handle.net/2445/217281
dc.language.isoeng
dc.publisherSpringer Verlag
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1007/s11118-023-10108-2
dc.relation.ispartofPotential Analysis, 2024, vol. 61, num.2, p. 247-261
dc.relation.urihttps://doi.org/10.1007/s11118-023-10108-2
dc.rightscc by (c) Carlos Beltrán et al., 2024
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationTeoria del potencial (Matemàtica)
dc.subject.classificationSuperfícies de Riemann
dc.subject.classificationTeoria de l'aproximació
dc.subject.otherPotential theory (Mathematics)
dc.subject.otherRiemann surfaces
dc.subject.otherApproximation theory
dc.titleLower Bound for the Green Energy of Point Configurations in Harmonic Manifolds
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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