Work

The optimal diameter estimate for positive Yamabe metrics

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.26455

Authors: Akutagawa, Kazuo, Lai, Mijia, Li, Chao, Seshadri, Harish, Wang, Zhixin

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Chuo University, Indian Institute of Science, York University, China Postdoctoral Science Foundation, Shanghai Jiao Tong University, Japan Society for the Promotion of Science, Division of Mathematical Sciences

Awards: Scalar curvature and geometric variational problems, 正スカラー曲率計量に対する障害・特異山辺の問題・特異リッチフローの研究, G3256655880

OpenAlex ID: W7214072682

Cites: 2

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Related to: 10