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

dc.contributor.authorBeltrán Álvarez, Carlos 
dc.contributor.authorTorre, Víctor de la
dc.contributor.authorLizarte López, Fátima
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-09-12T17:54:14Z
dc.date.available2024-09-12T17:54:14Z
dc.date.issued2024-08
dc.identifier.issn0926-2601
dc.identifier.issn1572-929X
dc.identifier.otherPID2020-113887GB-I00es_ES
dc.identifier.otherPRE2018-086103es_ES
dc.identifier.urihttps://hdl.handle.net/10902/33802
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.es_ES
dc.description.sponsorshipFirst and third authors belong to the Universidad de Cantabria and are supported by Grant PID2020-113887GB-I00 funded by MCIN/ AEI /10.13039/501100011033. The second author belongs to the Universitat de Barcelona and has been partially supported by grant PID2021-123405NB-I00 by the Ministerio de Ciencia, Innovación y Universidades, Gobierno de España and by the Generalitat de Catalunya (project 2017 SGR 358). The third author has also been supported by Grant PRE2018-086103 funded by MCIN/AEI/10.13039/501100011033 and by ESF Investing in your future.es_ES
dc.format.extent15 p.es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsThis 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.es_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourcePotential Analysis, 2024, 61(2), 247-261es_ES
dc.subject.otherGreen energyes_ES
dc.subject.otherEnergy minimizationes_ES
dc.subject.otherCompact harmonic manifoldses_ES
dc.subject.otherTwo-point homogeneous manifoldses_ES
dc.titleLower bound for the green energy of point configurations in harmonic manifoldses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1007/s11118-023-10108-2es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113887GB-I00/ES/DESIGN OF MINIMAL ENERGY SEQUENCES/es_ES
dc.identifier.DOI10.1007/s11118-023-10108-2
dc.type.versionpublishedVersiones_ES


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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.