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