On a reverse isoperimetric inequality for relative outer parallel bodies

Saorín Gómez, Eugenia; Yepes Nicolás, Jesús

doi:10.1090/proc/15132

On a reverse isoperimetric inequality for relative outer parallel bodies
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by Eugenia Saorín Gómez and Jesús Yepes Nicolás

Proc. Amer. Math. Soc. 148 (2020), 4923-4931

DOI: https://doi.org/10.1090/proc/15132

Published electronically: August 4, 2020

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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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