Volume bounds of the Ricci flow on closed manifolds

DOI10.1007/S00209-019-02242-8zbMath1412.53089arXiv1803.09591OpenAlexW2963743278WikidataQ124831134 ScholiaQ124831134MaRDI QIDQ2633100

Zhen Lei Zhang, Chih-Wei Chen

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09591

zbMATH Keywords

Ricci flowunit spherevolume boundsSobolev constantvolume estimate\(\mu\)-entropy

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constants in the Sobolev imbedding theorem
• Sobolev inequalities, Riesz transforms, and the Ricci flow
• Bounds on volume growth of geodesic balls under Ricci flow
• Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons
• The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems
• A Uniform Sobolev Inequality Under Ricci Flow

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