On isoparametric foliations of complex and quaternionic projective spaces

Miguel Dominguez-Vazquez, Andreas Kollross
{"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}
引用次数: 0

Abstract

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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
论复数和四元投影空间的等参数叶形
我们总结了复投影空间和四元投影空间的等参数(或等价极性)叶子的分类。为此,我们研究了 31 球的某些非均质等参数叶形在各自的霍普夫纤维下的投影,从而解决了最后剩下的悬案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Navigation problem; $λ-$Funk metric; Finsler metric The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3 A Corrected Proof of the Graphical Representation of a Class of Curvature Varifolds by $C^{1,α}$ Multiple Valued Functions The versal deformation of Kurke-LeBrun manifolds Screen Generic Lightlike Submanifolds of a Locally Bronze Semi-Riemannian Manifold equipped with an (l,m)-type Connection
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1