On isoparametric foliations of complex and quaternionic projective spaces

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorDomínguez Vázquez, Miguel
dc.contributor.authorKollross, Andreas
dc.date.accessioned2025-09-26T08:19:17Z
dc.date.available2025-09-26T08:19:17Z
dc.date.issued2025
dc.descriptionThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00209-025-03861-0
dc.description.abstractWe conclude the classification of isoparametric (or equivalently, polar) foliations of complex and quaternionic projective spaces. This is done by investigating the projections of certain inhomogeneous isoparametric foliations of the 31-sphere under the respective Hopf fibrations, thereby solving the last remaining open cases.
dc.description.peerreviewedSI
dc.description.sponsorshipThe first author has been supported by the grants PID2022-138988NB-I00 funded by MI- CIU/AEI/10.13039/501100011033 and by ERDF, EU, and ED431C 2023/31 (Xunta de Galicia, Spain).
dc.identifier.citationDomínguez-Vázquez, M., Kollross, A. On isoparametric foliations of complex and quaternionic projective spaces. Math. Z. 311, 68 (2025). https://doi.org/10.1007/s00209-025-03861-0
dc.identifier.doi10.1007/s00209-025-03861-0
dc.identifier.essn1432-1823
dc.identifier.urihttps://hdl.handle.net/10347/42915
dc.issue.number68
dc.journal.titleMathematische Zeitschrift
dc.language.isoeng
dc.publisherSpringer
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/10.1007/s00209-025-03861-0
dc.rights.accessRightsopen access
dc.subjectPolar foliation
dc.subjectIsoparametric foliation
dc.subjectFKM foliation
dc.subjectSingular Riemannian foliation
dc.subjectHomogeneous foliation
dc.subjectComplex projective space
dc.subjectQuaternionic projective space
dc.titleOn isoparametric foliations of complex and quaternionic projective spaces
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number311
dspace.entity.typePublication
relation.isAuthorOfPublication47842c15-6868-416f-be81-8000ef2fbf3c
relation.isAuthorOfPublication.latestForDiscovery47842c15-6868-416f-be81-8000ef2fbf3c

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