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Apr 17, 2014 at 14:48 history edited Boris Bukh CC BY-SA 3.0
added 102 characters in body
Apr 14, 2014 at 19:09 comment added Boris Bukh Aha, the intended question is much more interesting than the one I answered above.
Apr 14, 2014 at 14:59 comment added Yoav Kallus @Alfredo, you should probably write it as $\operatorname{diam}(\partial K)$.
Apr 14, 2014 at 14:13 comment added Alfredo Hubard Hi Boris! sorry I was not very clar about what I meant by "induced metric from Euclidean space" I mean the infimal length of all rectifible curves that stay on the boundary of the convex body. Where the length of a curve is measured locally with the Euclidean metric, so if the body is smooth this is a Riemannian metric.
Apr 14, 2014 at 13:47 history answered Boris Bukh CC BY-SA 3.0