Volumes of balls in Riemannian manifolds and Uryson width
Name
Guth_Volumes of balls.pdf
Size
247.16 KB
Format
Adobe PDF
Checksum (MD5)
2c0a33b68a43f70674bd717526752e86
Author(s)
Guth, Lawrence
Date Issued
February 2016
Journal
Journal of Topology and Analysis
Publisher
World Scientific
Citation
Guth, Larry. “Volumes of Balls in Riemannian Manifolds and Uryson Width.” Journal of Topology and Analysis (February 22, 2016): 1–25.
Version
Original manuscript
Abstract
If (M[superscript n], g) is a closed Riemannian manifold where every unit ball has volume at most ϵ[subscript n] (a sufficiently small constant), then the (n − 1)-dimensional Uryson width of (M[superscript n], g) is at most 1.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1142/S1793525317500029
