{"title":"Stability and area growth of $\\lambda$-hypersurfaces","authors":"Q. Cheng, G. Wei","doi":"10.4310/cag.2022.v30.n5.a4","DOIUrl":null,"url":null,"abstract":"In this paper, We define a $\\mathcal{F}$-functional and study $\\mathcal{F}$-stability of $\\lambda$-hypersurfaces, which extend a result of Colding-Minicozzi. Lower bound growth and upper bound growth of area for complete and non-compact $\\lambda$-hypersurfaces are studied.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2019-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Analysis and Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cag.2022.v30.n5.a4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, We define a $\mathcal{F}$-functional and study $\mathcal{F}$-stability of $\lambda$-hypersurfaces, which extend a result of Colding-Minicozzi. Lower bound growth and upper bound growth of area for complete and non-compact $\lambda$-hypersurfaces are studied.
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