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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
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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。
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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.
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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.
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