Constrained convex bodies with maximal affine surface area

Abstract: Given a convex body K in R^n, we study the maximal affine surface area of K, i.e., the quantity AS(K) = sup_{C} as(C) where as(C) denotes the affine surface area of C, and the supremum is taken over all convex subsets of K. In particular, we give asymptotic estimates on the size of AS(K).

analysis of PDEsmetric geometry

Audience: researchers in the topic

Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

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