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A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMartínez Pérez, Alvaro
dc.contributor.authorRodríguez García, José Manuel
dc.contributor.funderComunidad de Madrides
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderUniversidad Carlos III de Madrides
dc.date.accessioned2022-07-20T08:20:33Z
dc.date.available2022-07-20T08:20:33Z
dc.date.issued2021-06-26
dc.description.abstractWe study in this paper the relationship of isoperimetric inequality and hyperbolicity for graphs and Riemannian manifolds. We obtain a characterization of graphs and Riemannian manifolds (with bounded local geometry) satisfying the (Cheeger) isoperimetric inequality, in terms of their Gromov boundary, improving similar results from a previous work. In particular, we prove that having a pole is a necessary condition to have isoperimetric inequality and, therefore, it can be removed as hypothesis.en
dc.description.sponsorshipFirst author supported in part by a Grant from Ministerio de Ciencia, Innovación y Universidades (PGC2018-098321-B-I00), Spain. Second author supported in part by two Grants from Ministerio de Economía y Competitividad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain. Also, the research of the second author was supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).en
dc.format.extent10
dc.identifier.bibliographicCitationMartínez-Pérez, Á., & Rodríguez, J. M. (2021). A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs. In Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (Vol. 115, Issue 3). Springer Science and Business Media LLC.en
dc.identifier.doihttps://doi.org/10.1007/s13398-021-01096-2
dc.identifier.issn1579-1505
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue154
dc.identifier.publicationlastpage10
dc.identifier.publicationtitleRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicases
dc.identifier.publicationvolume115
dc.identifier.urihttps://hdl.handle.net/10016/35497
dc.identifier.uxxiAR/0000030821
dc.language.isoengen
dc.publisherSpringer Science and Business Media LLCen
dc.relation.projectIDGobierno de España. MTM2016-78227-C2-1-Pes
dc.relation.projectIDComunidad de Madrid.es
dc.relation.projectIDGobierno de España. PGC2018-098321-B-I00es
dc.relation.projectIDGobierno de España. MTM2017-90584-REDTes
dc.rightsCopyright © 2021, The Author(s)en
dc.rightsAtribución 3.0 Españaen
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherCheeger Isoperimetric Constanten
dc.subject.otherGromov Hyperbolicityen
dc.subject.otherBounded Local Geometryen
dc.subject.otherPoleen
dc.titleA note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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