PreprintCC BY 4.0arXiv
The optimal diameter estimate for positive Yamabe metrics
Abstract
In this paper, we prove the optimal diameter estimate for positive Yamabe metrics on a connected, closed manifold. It is a scalar curvature version of both classical Myers' diameter estimate and Cheng's maximal diameter theorem on Ricci curvature.
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BibTeX
@misc{akutagawa2026optimal,
title = {{The optimal diameter estimate for positive Yamabe metrics}},
author = {Kazuo Akutagawa and Mijia Lai and Chao Li and Harish Seshadri and Zhixin Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26455},
eprint = {2609.26455},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26455},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The optimal diameter estimate for positive Yamabe metrics
AU - Kazuo Akutagawa
AU - Mijia Lai
AU - Chao Li
AU - Harish Seshadri
AU - Zhixin Wang
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26455
UR - https://arxiv.org/abs/2609.26455
AB - In this paper, we prove the optimal diameter estimate for positive Yamabe metrics on a connected, closed manifold. It is a scalar curvature version of both classical Myers' diameter estimate and Cheng's maximal diameter theorem on Ricci curvature.
ER -