On isoparametric foliations of complex and quaternionic projective spaces

We 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 th...

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Detalles Bibliográficos
Autores: Domínguez Vázquez, Miguel, Kollross, Andreas
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/42915
Acceso en línea:https://hdl.handle.net/10347/42915
Access Level:acceso abierto
Palabra clave:Polar foliation
Isoparametric foliation
FKM foliation
Singular Riemannian foliation
Homogeneous foliation
Complex projective space
Quaternionic projective space
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spelling On isoparametric foliations of complex and quaternionic projective spacesDomínguez Vázquez, MiguelKollross, AndreasPolar foliationIsoparametric foliationFKM foliationSingular Riemannian foliationHomogeneous foliationComplex projective spaceQuaternionic projective spaceWe 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.SpringerUniversidade de Santiago de Compostela. Departamento de Matemáticas20252025-01-0120252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/42915reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2022-138988NB-I00 SUBVARIEDADES, CURVATURA Y ECUACIONES GEOMETRICAS DESDE LA PERSPECTIVA DE LA SIMETRIAopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/429152026-06-15T12:47:27Z
dc.title.none.fl_str_mv On isoparametric foliations of complex and quaternionic projective spaces
title On isoparametric foliations of complex and quaternionic projective spaces
spellingShingle On isoparametric foliations of complex and quaternionic projective spaces
Domínguez Vázquez, Miguel
Polar foliation
Isoparametric foliation
FKM foliation
Singular Riemannian foliation
Homogeneous foliation
Complex projective space
Quaternionic projective space
title_short On isoparametric foliations of complex and quaternionic projective spaces
title_full On isoparametric foliations of complex and quaternionic projective spaces
title_fullStr On isoparametric foliations of complex and quaternionic projective spaces
title_full_unstemmed On isoparametric foliations of complex and quaternionic projective spaces
title_sort On isoparametric foliations of complex and quaternionic projective spaces
dc.creator.none.fl_str_mv Domínguez Vázquez, Miguel
Kollross, Andreas
author Domínguez Vázquez, Miguel
author_facet Domínguez Vázquez, Miguel
Kollross, Andreas
author_role author
author2 Kollross, Andreas
author2_role author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Matemáticas
dc.subject.none.fl_str_mv Polar foliation
Isoparametric foliation
FKM foliation
Singular Riemannian foliation
Homogeneous foliation
Complex projective space
Quaternionic projective space
topic Polar foliation
Isoparametric foliation
FKM foliation
Singular Riemannian foliation
Homogeneous foliation
Complex projective space
Quaternionic projective space
description We 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.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/42915
url https://hdl.handle.net/10347/42915
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2022-138988NB-I00 SUBVARIEDADES, CURVATURA Y ECUACIONES GEOMETRICAS DESDE LA PERSPECTIVA DE LA SIMETRIA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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