（n + 1）流形与双里奇曲率的同调n收缩

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-03-03 DOI:10.1016/j.aim.2025.110187

Jianchun Chu , Man-Chun Lee , Jintian Zhu

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引用次数: 0

摘要

本文在具有正bi-Ricci曲率的闭流形上证明了一个最优收缩不等式及其在相等情况下的刚性，推广了Bray-Brendle-Neves在[3]中的工作。基于一般正则性假设下的最小曲面方法，在所有维度上给出了证明，该证明在十维之前是正确的。

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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Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature

In this paper, we prove an optimal systolic inequality and the corresponding rigidity in the equality case on closed manifolds with positive bi-Ricci curvature, which generalizes the work of Bray-Brendle-Neves in [3]. The proof is given in all dimensions based on the method of minimal surfaces under the Generic Regularity Hypothesis, which is known to be true up to dimension ten.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.

（n + 1）流形与双里奇曲率的同调n收缩

摘要

（n + 1）流形与双里奇曲率的同调n收缩