Codimension two polar homogeneous foliations on symmetric spaces of noncompact type

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorDíaz Ramos, José Carlos
dc.contributor.authorLorenzo Naveiro, Juan Manuel
dc.date.accessioned2025-10-09T12:19:38Z
dc.date.available2025-10-09T12:19:38Z
dc.date.issued2025-06
dc.description.abstractWe classify homogeneous polar foliations of codimension two on irreducible symmetric spaces of noncompact type up to orbit equivalence. Any such foliation is either hyperpolar or the canonical extension of a polar homogeneous foliation on a rank one symmetric space.
dc.description.peerreviewedSI
dc.description.sponsorshipSupported by projects PID2022-138988NB-I00/AEI/10.13039/501100011033 (Spain) and ED431F 2020/04, ED431C 2023/31 (Xunta de Galicia, Spain). The second author acknowledges support of the FPI program PRE2020-094450 (Spain).
dc.identifier.citationDíaz Ramos, J.C., Lorenzo Naveiro, J.M. Codimension two polar homogeneous foliations on symmetric spaces of noncompact type. Advances in Mathematics, 472, 1-31. https://doi.org/10.1016/j.aim.2025.110295
dc.identifier.doi10.1016/j.aim.2025.110295
dc.identifier.issn0001-8708
dc.identifier.urihttps://hdl.handle.net/10347/43030
dc.journal.titleAdvances in Mathematics
dc.language.isoeng
dc.page.final31
dc.page.initial1
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-138988NB-I00/ES/SUBVARIEDADES, CURVATURA Y ECUACIONES GEOMETRICAS DESDE LA PERSPECTIVA DE LA SIMETRIA/
dc.relation.publisherversionhttps://doi.org/10.1016/j.aim.2025.110295
dc.rights© 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC license. Attribution-NonCommercial 4.0 International
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectPolar action
dc.subjectFoliation
dc.subjectSymmetric space
dc.titleCodimension two polar homogeneous foliations on symmetric spaces of noncompact type
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number472
dspace.entity.typePublication
relation.isAuthorOfPublicationff9821f3-50bb-45a9-b5f6-2087f5eb9f9e
relation.isAuthorOfPublication.latestForDiscoveryff9821f3-50bb-45a9-b5f6-2087f5eb9f9e

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