发表机构
Chern Institute of Mathematics and LPMC, Nankai University; Nankai University(南开大学陈省身数学研究所和LPMC; 南开大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究借助Chodosh-Vikman的万有覆盖球比较定理,证明了所有亏格为正的闭定向黎曼曲面均为Loewner曲面,满足sys面积不等式。
AI 中文摘要
利用Chodosh-Vikman的万有覆盖球比较定理,可直接推出:每个亏格为正的闭定向黎曼曲面都是Loewner曲面,即满足sys面积不等式。
英文摘要
Using the universal-cover ball comparison theorem of Chodosh--Vikman, we have an easy consequence that every closed oriented Riemannian surface of positive genus is Loewner, that is, it satisfies a systolic-area inequality.
Comments3 pages