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...

Descripción completa

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
Descripción
Sumario: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.