发布求助
文献互助 智能选刊 最新文献

正里奇曲率有向图的最大直径定理

IF 0.7 4区 数学 Q2 MATHEMATICS
Communications in Analysis and Geometry Pub Date : 2024-07-16 DOI:10.4310/cag.2023.v31.n5.a7
Ozawa,Ryunosuke, Sakurai,Yohei, Yamada,Taiki
{"title":"正里奇曲率有向图的最大直径定理","authors":"Ozawa,Ryunosuke, Sakurai,Yohei, Yamada,Taiki","doi":"10.4310/cag.2023.v31.n5.a7","DOIUrl":null,"url":null,"abstract":"In a previous work, the authors [15] have introduced a Lin-Lu-Yau type Ricci curvature for directed graphs, and obtained a diameter comparison of Bonnet-Myers type. In this paper, we investigate rigidity properties for the equality case, and conclude a maximal diameter theorem of Cheng type.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"477 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximal diameter theorem for directed graphs of positive Ricci curvature\",\"authors\":\"Ozawa,Ryunosuke, Sakurai,Yohei, Yamada,Taiki\",\"doi\":\"10.4310/cag.2023.v31.n5.a7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In a previous work, the authors [15] have introduced a Lin-Lu-Yau type Ricci curvature for directed graphs, and obtained a diameter comparison of Bonnet-Myers type. In this paper, we investigate rigidity properties for the equality case, and conclude a maximal diameter theorem of Cheng type.\",\"PeriodicalId\":50662,\"journal\":{\"name\":\"Communications in Analysis and Geometry\",\"volume\":\"477 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-07-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Analysis and Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/cag.2023.v31.n5.a7\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Analysis and Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cag.2023.v31.n5.a7","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

摘要

在之前的工作中，作者[15] 为有向图引入了林-陆-尤类型的里奇曲率，并得到了波奈-迈尔斯类型的直径比较。在本文中，我们研究了相等情况下的刚度特性，并得出了 Cheng 型最大直径定理。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
分享
查看原文 本刊更多论文
Maximal diameter theorem for directed graphs of positive Ricci curvature
In a previous work, the authors [15] have introduced a Lin-Lu-Yau type Ricci curvature for directed graphs, and obtained a diameter comparison of Bonnet-Myers type. In this paper, we investigate rigidity properties for the equality case, and conclude a maximal diameter theorem of Cheng type.
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
Communications in Analysis and Geometry
Communications in Analysis and Geometry 数学-数学
CiteScore
1.60
自引率
0.00%
发文量
4
审稿时长
>12 weeks
期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.
×
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
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信