表面上闭合磁测地线的收缩不等式

Pub Date : 2019-02-04 DOI:10.4310/jsg.2022.v20.n1.a3

G. Benedetti, Jungsoo Kang

{"title":"表面上闭合磁测地线的收缩不等式","authors":"G. Benedetti, Jungsoo Kang","doi":"10.4310/jsg.2022.v20.n1.a3","DOIUrl":null,"url":null,"abstract":"We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"On a systolic inequality for closed magnetic geodesics on surfaces\",\"authors\":\"G. Benedetti, Jungsoo Kang\",\"doi\":\"10.4310/jsg.2022.v20.n1.a3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-02-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/jsg.2022.v20.n1.a3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/jsg.2022.v20.n1.a3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 9

摘要

我们应用三流形上接触形式和奇辛形式的局部收缩-舒张不等式来约束定向封闭表面上具有规定测地线曲率(也称为磁测地线)的封闭曲线的磁长度。当规定的曲率接近于Zoll曲率或足够大时，我们的结果成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

On a systolic inequality for closed magnetic geodesics on surfaces

We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助