On p-parabolicity of Riemannian manifolds and graphs

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dc.contributor.authorMartínez Pérez, Álvaro
dc.contributor.authorRodríguez, José M.
dc.date.accessioned2025-12-16T09:47:39Z
dc.date.available2025-12-16T09:47:39Z
dc.date.issued2021
dc.description.abstractKanai proved that quasi-isometries between Riemannian manifolds with bounded geometry preserve many global properties, including the existence of Green’s function, i.e., non-parabolicity. However, Kanai’s hypotheses are too restrictive. Herein we prove the stability of p-parabolicity (with 1 < p < ∞) by quasi-isometries between Riemannian manifolds under weaker assumptions. Also, we obtain some results on the p-parabolicity of graphs and trees; in particular, we characterize p-parabolicity for a large class of trees.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipAgencia Estatal de Investigación
dc.description.sponsorshipComunidad de Madrid
dc.description.statuspub
dc.identifier.citationMartínez-Pérez, Á., Rodríguez, J.M. On p-parabolicity of Riemannian manifolds and graphs. Rev Mat Complut. 2022; 35, Mar 06: 179–198.
dc.identifier.doi10.1007/s13163-021-00387-x
dc.identifier.issn1139-1138
dc.identifier.issn1988-2807
dc.identifier.urihttps://hdl.handle.net/20.500.14352/129081
dc.language.isoeng
dc.page.final198
dc.page.initial179
dc.publisherSpringer Nature Link
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098321-B-I00/ES/COMBINATORIA Y DINAMICA: ASPECTOS GEOMETRICOS Y TOPOLOGICOS EN VARIEDADES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-126124NB-I00/ES/ESTRUCTURAS GEOMETRICAS, TOPOLOGICAS Y COMBINATORIAS ASOCIADAS A SISTEMAS DINAMICOS/
dc.relation.projectIDPID2019-106433GB-I00 / AEI / 10.13039/501100011033
dc.relation.projectIDEPUC3M23
dc.rights.accessRightsopen access
dc.subject.keywordBounded local geometry
dc.subject.keywordp-parabolicity
dc.subject.keywordParabolicity
dc.subject.keywordQuasi-isometries
dc.subject.ucmGeometría diferencial
dc.subject.unesco1204.04 Geometría Diferencial
dc.titleOn p-parabolicity of Riemannian manifolds and graphs
dc.typejournal article
dc.volume.number35
dspace.entity.typePublication

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