Macroscopic scalar curvature and codimension 2 width

DOI10.1142/S1793525323500024MaRDI QIDQ6611247

Hannah Alpert, Larry Guth, Alexey Balitskiy

Publication date: 26 September 2024

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

zbMATH Keywords

filling radiusmacroscopic dimensionmacroscopic scalar curvatureUrysohn width

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• Uryson width and volume
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Sur une hypothèse fondamentale de la théorie de la dimension.
• Local-to-global Urysohn width estimates
• Macroscopic scalar curvature and areas of cycles
• Volumes of balls in Riemannian manifolds and Uryson width
• Metaphors in systolic geometry
• Über die Urysohnschen Konstanten
• On macroscopic dimension of non-spin 4-manifolds
• Waist Inequality for 3-Manifolds with Positive Scalar Curvature

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