On a reverse isoperimetric inequality for relative outer parallel bodies

Published 25 Jul 2019 in math.MG | (1907.10871v3)

Abstract: We show a reverse isoperimetric inequality within the class of relative outer parallel bodies, with respect to a general convex body $E$, along with its equality condition. Based on the convexity of the sequence of quermassintegrals of Minkowski sums we also prove further inequalities.

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