Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticases_ES
dc.contributor.authorDíaz Ramos, José Carlos
dc.contributor.authorDomínguez Vázquez, Miguel
dc.contributor.authorRodríguez-Vázquez, Alberto
dc.date.accessioned2024-10-04T12:40:17Z
dc.date.available2024-10-04T12:40:17Z
dc.date.issued2021
dc.description.abstractWe conclude the classification of cohomogeneity one actions on symmetric spaces of rank one by classifying cohomogeneity one actions on quaternionic hyperbolic spaces up to orbit equivalence. As a by-product of our proof, we produce uncountably many examples of inhomogeneous isoparametric families of hypersurfaces with constant principal curvatures in quaternionic hyperbolic spaces.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThe authors have been supported by the projects PID2019-105138GB-C21 (AEI/FEDER, Spain) and ED431C 2019/10, ED431F 2020/04 (Xunta de Galicia, Spain). The second and third authors acknowledge support of the Ramón y Cajal program (Agencia Estatal de Investigación, Spain) and the FPU program (Ministry of Education, Spain), respectively.es_ES
dc.identifier.citationDíaz-Ramos, José Carlos, Domínguez-Vázquez, Miguel and Rodríguez-Vázquez, Alberto. "Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces" Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2021, no. 779, 2021, pp. 189-222es_ES
dc.identifier.doi10.1515/crelle-2021-0043
dc.identifier.urihttp://hdl.handle.net/10347/35019
dc.language.isoenges_ES
dc.publisherDe Gruyteres_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.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/deed.es
dc.titleHomogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaceses_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
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relation.isAuthorOfPublication47842c15-6868-416f-be81-8000ef2fbf3c
relation.isAuthorOfPublication.latestForDiscoveryff9821f3-50bb-45a9-b5f6-2087f5eb9f9e

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