On isoparametric foliations of complex and quaternionic projective spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916386731720704 |
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| author | Dominguez-Vazquez, Miguel Kollross, Andreas |
| author_facet | Dominguez-Vazquez, Miguel Kollross, Andreas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06032 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On isoparametric foliations of complex and quaternionic projective spaces Dominguez-Vazquez, Miguel Kollross, Andreas Differential Geometry Primary 53C12, Secondary 53C35, 57S15, 53C40 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. |
| title | On isoparametric foliations of complex and quaternionic projective spaces |
| topic | Differential Geometry Primary 53C12, Secondary 53C35, 57S15, 53C40 |
| url | https://arxiv.org/abs/2409.06032 |