Isoparametric surfaces in E(κ, τ)-spaces

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticases_ES
dc.contributor.authorDomínguez Vázquez, Miguel
dc.contributor.authorManzano, José Miguel
dc.date.accessioned2024-10-07T07:39:13Z
dc.date.available2024-10-07T07:39:13Z
dc.date.issued2021
dc.description.abstractWe provide an explicit classification of the following four families of surfaces in any homogeneous 3-manifold with 4-dimensional isometry group: isoparametric surfaces, surfaces with constant principal curvatures, homogeneous surfaces, and surfaces with constant mean curvature and vanishing Abresch-Rosenberg differential.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThe first author acknowledges support by the projects MTM2016-75897-P, PID2019-105138GB-C21(AEI/FEDER, Spain), ED431C2019/10, ED431F2020/04 (Xunta de Galicia, Spain), and the EU’s Horizon2020 programme under the Marie Sklodowska-Curie grant agreement No. 745722. The second author is supported by the MINECO-FEDER projects MTM2017-89677-P and PID2019-111531GA-I00/AEI/10.13039/501100011033. Both authors have been supported by the Ramón y Cajal programme of the Spanish Ministry of Science.es_ES
dc.identifier.citationAnn. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), 269-285es_ES
dc.identifier.doi10.2422/2036-2145.201805_006
dc.identifier.urihttp://hdl.handle.net/10347/35022
dc.language.isoenges_ES
dc.publisherScuola Normale Superiorees_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105138GB-C21/ES/SIMETRIA, CURVATURA Y ECUACIONES GEOMETRICAS/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/745722/EUes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89677-P/ES/ANALISIS GEOMETRICO/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-111531GA-I00/ES/SUPERFICIES DE CURVATURA MEDIA CONSTANTE EN ESPACIOS HOMOGENEOS/es_ES
dc.relation.publisherversionhttps://journals.sns.it/index.php/annaliscienze/article/view/781es_ES
dc.rights.accessRightsopen accesses_ES
dc.subjectHomogeneous 3-manifoldses_ES
dc.subjectConstant principal curvatureses_ES
dc.subjectHomogeneous surfaceses_ES
dc.subjectIsoparametric surfaceses_ES
dc.titleIsoparametric surfaces in E(κ, τ)-spaceses_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication47842c15-6868-416f-be81-8000ef2fbf3c
relation.isAuthorOfPublication.latestForDiscovery47842c15-6868-416f-be81-8000ef2fbf3c

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