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.
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Format: | Article |
Language: | English |
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World Scientific,
2017-06-22T23:23:52Z.
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Online Access: | Get fulltext |