{"title":"Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^8","authors":"Wen Wang","doi":"10.12775/tmna.2021.057","DOIUrl":null,"url":null,"abstract":"Let $\\Sigma$ be a $C^3$ compact symmetric convex hypersurface in\n$\\mathbb{R}^{8}$. We prove that when $\\Sigma$ carries exactly four\ngeometrically distinct closed characteristics, then there are at least two\nirrationally elliptic closed characteristics on $\\Sigma$.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2021.057","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: 0
Abstract
Let $\Sigma$ be a $C^3$ compact symmetric convex hypersurface in
$\mathbb{R}^{8}$. We prove that when $\Sigma$ carries exactly four
geometrically distinct closed characteristics, then there are at least two
irrationally elliptic closed characteristics on $\Sigma$.
期刊介绍：
Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.
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