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Discrete and continuous green energy on compact manifolds

dc.contributor.authorBeltrán Álvarez, Carlos 
dc.contributor.authorCorral Pérez, Nuria 
dc.contributor.authorGonzález Criado del Rey, Juan
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-01-10T16:50:18Z
dc.date.available2025-01-10T16:50:18Z
dc.date.issued2019-01
dc.identifier.issn0021-9045
dc.identifier.issn1096-0430
dc.identifier.otherMTM2017-83816-Pes_ES
dc.identifier.otherMTM2014-57590-Pes_ES
dc.identifier.otherMTM2013-46337-C2-1-Pes_ES
dc.identifier.urihttps://hdl.handle.net/10902/34949
dc.description.abstractIn this note we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove that a sequence of minimizers for the Green energy is asymptotically uniformly distributed. We pay special attention to the case of locally harmonic manifolds.es_ES
dc.description.sponsorshipThis research was partially supported by Ministerio de Economía y Competitividad under grants MTM2017-83816-P, MTM2014-57590-P, MTM2013-46337-C2-1-P, Banco Santander and University of Cantabria under grant 21.SI01.64658, and a Ph.D. grant by the University of Cantabria.es_ES
dc.format.extent37 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rights© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/es_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceJournal of Approximation Theory, 2019, 237, 160-185es_ES
dc.subject.otherGreen energyes_ES
dc.subject.otherWell–distributed pointses_ES
dc.subject.otherHarmonic manifoldes_ES
dc.titleDiscrete and continuous green energy on compact manifoldses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jat.2018.09.004es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83816-P/ES/CONDICIONAMIENTO Y COMPLEJIDAD/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-57590-P/ES/EL PROBLEMA DE LA DISTRIBUCION DE PUNTOS EN LA ESFERA/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2013-46337-C2-1-P/ES/ALGEBRA Y GEOMETRIA EN DINANICA REAL Y COMPLEJA III/es_ES
dc.identifier.DOI10.1016/j.jat.2018.09.004
dc.type.versionacceptedVersiones_ES


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© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Excepto si se señala otra cosa, la licencia del ítem se describe como © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/