{"title":"空间形式中奇异极小超曲面的第一个$$\\frac{2}{n}$$稳定性特征值","authors":"Ha Tuan Dung, Nguyen Thac Dung, Juncheol Pyo","doi":"10.1007/s10455-022-09880-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we study the first <span>\\(\\frac{2}{n}\\)</span>-stability eigenvalue on singular minimal hypersurfaces in space forms. We provide a characterization of catenoids in space forms in terms of <span>\\(\\frac{2}{n}\\)</span>-stable eigenvalue. We emphasize that this result is even new in the regular setting.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"First \\\\(\\\\frac{2}{n}\\\\)-stability eigenvalue of singular minimal hypersurfaces in space forms\",\"authors\":\"Ha Tuan Dung, Nguyen Thac Dung, Juncheol Pyo\",\"doi\":\"10.1007/s10455-022-09880-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we study the first <span>\\\\(\\\\frac{2}{n}\\\\)</span>-stability eigenvalue on singular minimal hypersurfaces in space forms. We provide a characterization of catenoids in space forms in terms of <span>\\\\(\\\\frac{2}{n}\\\\)</span>-stable eigenvalue. We emphasize that this result is even new in the regular setting.</p></div>\",\"PeriodicalId\":8268,\"journal\":{\"name\":\"Annals of Global Analysis and Geometry\",\"volume\":\"63 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2022-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Global Analysis and Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10455-022-09880-y\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Global Analysis and Geometry","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10455-022-09880-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
First \(\frac{2}{n}\)-stability eigenvalue of singular minimal hypersurfaces in space forms
In this paper, we study the first \(\frac{2}{n}\)-stability eigenvalue on singular minimal hypersurfaces in space forms. We provide a characterization of catenoids in space forms in terms of \(\frac{2}{n}\)-stable eigenvalue. We emphasize that this result is even new in the regular setting.
期刊介绍:
This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field.
The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.