{"title":"Free boundary minimal hypersurfaces with least area","authors":"Guang,Qiang, Wang,Zhichao, Zhou,Xin","doi":"10.4310/cag.2023.v31.n5.a4","DOIUrl":null,"url":null,"abstract":"In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such a hypersurface can be viewed as the ground state of the volume spectrum introduced by Gromov. Moreover, we characterize the orientation and Morse index of them.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cag.2023.v31.n5.a4","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
In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such a hypersurface can be viewed as the ground state of the volume spectrum introduced by Gromov. Moreover, we characterize the orientation and Morse index of them.
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