Uryson width and volume

DOI10.1007/s00039-020-00533-5zbMath1453.53050arXiv1909.03738OpenAlexW3013391367WikidataQ125864595 ScholiaQ125864595MaRDI QIDQ776887

Panos Papasoglu

Publication date: 13 July 2020

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03738

zbMATH Keywords

volumeHausdorff contentco-area inequalityUryson width

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (10)

Filling metric spaces ⋮ Volume and macroscopic scalar curvature ⋮ Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups ⋮ Macroscopic band width inequalities ⋮ Bavard's systolically extremal Klein bottles and three dimensional applications ⋮ Linear bounds for constants in Gromov's systolic inequality and related results ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Sweepouts of closed Riemannian manifolds ⋮ Local-to-global Urysohn width estimates ⋮ Waist of maps measured via Urysohn width

Cites Work

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• Volume and bounded cohomology
• On the structure of manifolds with positive scalar curvature
• On the proof of the positive mass conjecture in general relativity
• Systolic inequalities and minimal hypersurfaces
• Volumes of balls in Riemannian manifolds and Uryson width
• Metaphors in systolic geometry
• Diastolic and isoperimetric inequalities on surfaces

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