凸超曲面上大地流的全局超曲面剖面

IF 0.5 4区 数学 Q3 MATHEMATICS Archiv der Mathematik Pub Date : 2024-07-31 DOI:10.1007/s00013-024-02018-5
Sunghae Cho, Dongho Lee
{"title":"凸超曲面上大地流的全局超曲面剖面","authors":"Sunghae Cho,&nbsp;Dongho Lee","doi":"10.1007/s00013-024-02018-5","DOIUrl":null,"url":null,"abstract":"<div><p>We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admitting an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global hypersurfaces of section for geodesic flows on convex hypersurfaces\",\"authors\":\"Sunghae Cho,&nbsp;Dongho Lee\",\"doi\":\"10.1007/s00013-024-02018-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admitting an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-02018-5\",\"RegionNum\":4,\"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":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02018-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

我们为欧几里得空间中允许等距内卷的凸超曲面的大地流构建了一个全局超曲面截面。这将伯克霍夫环面推广到了更高维度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

摘要图片

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Global hypersurfaces of section for geodesic flows on convex hypersurfaces

We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admitting an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.

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
来源期刊
Archiv der Mathematik
Archiv der Mathematik 数学-数学
CiteScore
1.10
自引率
0.00%
发文量
117
审稿时长
4-8 weeks
期刊介绍: Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
期刊最新文献
Correction to: Combinatorial constructions of repairable threshold schemes Elementary divisors, Hochster duality, and spectra An elementary approach to the group law on elliptic curves The relation between the gonality and the Clifford index of a chain of cycles Rationality of extended unipotent characters
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1