PreprintCC BY 4.0arXiv
Every Closed Oriented Surface of Positive Genus Is Loewner
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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BibTeX
@misc{li2026every,
title = {{Every Closed Oriented Surface of Positive Genus Is Loewner}},
author = {Qiongling Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04284},
eprint = {2609.04284},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04284},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Every Closed Oriented Surface of Positive Genus Is Loewner
AU - Qiongling Li
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.04284
UR - https://arxiv.org/abs/2609.04284
AB - 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.
ER -