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Volumes of balls in Riemannian manifolds and Uryson width
[article]
2015
arXiv
pre-print
If (M^n, g) is a closed Riemannian manifold where every unit ball has volume at most ϵ_n (a sufficiently small constant), then the (n-1)-dimensional Uryson width of (M^n, g) is at most 1.
arXiv:1504.07886v1
fatcat:afgw5ngosbddlh4cyeqo5tubza