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math.MG2014
Discrete length-volume inequalities and lower volume bounds in metric spaces
Kyle Kinneberg
A theorem of W. Derrick ensures that the volume of any Riemannian cube is bounded below by the product of the distances between opposite codimension-1 faces. In this…
math.MG2014
A metric characterization of snowflakes of Euclidean spaces
Kyle Kinneberg, Enrico Le Donne
We give a metric characterization of snowflakes of Euclidean spaces. Namely, a metric space is isometric to equipped with a distance , for some $n\in \…