Volumes of balls in Riemannian manifolds and Uryson width

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.

Bibliographic Details
Main Author: Guth, Lawrence
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: World Scientific 2017
Online Access:http://hdl.handle.net/1721.1/110192
https://orcid.org/0000-0002-1302-8657