Volumes of balls in Riemannian manifolds and Uryson width

DOI10.1142/S1793525317500029zbMath1368.53026arXiv1504.07886OpenAlexW1414409730WikidataQ115244570 ScholiaQ115244570MaRDI QIDQ2979663

Lawrence Guth

Publication date: 26 April 2017

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

Full work available at URL: https://arxiv.org/abs/1504.07886

zbMATH Keywords

filling radiussystoleGromov conjecturesUryson width

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Filling metric spaces, Volume and macroscopic scalar curvature, Macroscopic band width inequalities, Contraction of areas vs. topology of mappings, Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds, Bavard's systolically extremal Klein bottles and three dimensional applications, Linear bounds for constants in Gromov's systolic inequality and related results, Sweepouts of closed Riemannian manifolds, Local-to-global Urysohn width estimates, Uryson width and volume, A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature, Waist of maps measured via Urysohn width

Cites Work

• Unnamed Item
• Unnamed Item
• Volumes of balls in large Riemannian manifolds
• The filling radius of two-point homogeneous spaces
• Notes on Gromov's systolic estimate
• Filling Riemannian manifolds
• Metaphors in systolic geometry
• A short proof of Gromov's filling inequality
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu