Volumes of balls in Riemannian manifolds and Uryson width

Author(s)
Guth, Lawrence
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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.
Date issued
2016-02
URI
http://hdl.handle.net/1721.1/110192
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1793-5253
1793-7167
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