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arXiv · 2609.04284

Every Closed Oriented Surface of Positive Genus Is Loewner

Qiongling Li
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Abstract

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.

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Qiongling Li. 2026-09-03. Every Closed Oriented Surface of Positive Genus Is Loewner. https://arxiv.org/abs/2609.04284

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