{"title":"论复数和四元投影空间的等参数叶形","authors":"Miguel Dominguez-Vazquez, Andreas Kollross","doi":"arxiv-2409.06032","DOIUrl":null,"url":null,"abstract":"We conclude the classification of isoparametric (or equivalently, polar)\nfoliations of complex and quaternionic projective spaces. This is done by\ninvestigating the projections of certain inhomogeneous isoparametric foliations\nof the 31-sphere under the respective Hopf fibrations, thereby solving the last\nremaining open cases.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On isoparametric foliations of complex and quaternionic projective spaces\",\"authors\":\"Miguel Dominguez-Vazquez, Andreas Kollross\",\"doi\":\"arxiv-2409.06032\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We conclude the classification of isoparametric (or equivalently, polar)\\nfoliations of complex and quaternionic projective spaces. This is done by\\ninvestigating the projections of certain inhomogeneous isoparametric foliations\\nof the 31-sphere under the respective Hopf fibrations, thereby solving the last\\nremaining open cases.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"64 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Differential Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.06032\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06032","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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 the last
remaining open cases.
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