{"title":"Index Estimates for Free Boundary f-minimal Hypersurfaces","authors":"Niang Chen, Jian Quan Ge, Miao Miao Zhang","doi":"10.1007/s10114-023-2155-1","DOIUrl":null,"url":null,"abstract":"<div><p>We prove that the index is bounded from below by a linear function of its first Betti number for any compact free boundary <i>f</i>-minimal hypersurface in certain positively curved weighted manifolds.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-023-2155-1","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 prove that the index is bounded from below by a linear function of its first Betti number for any compact free boundary f-minimal hypersurface in certain positively curved weighted manifolds.
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