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 (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: World Scientific, 2017-06-22T23:23:52Z.
Subjects:
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