Pith. sign in

Near equality in the two-dimensional Brunn-Minkowski inequality

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
abstract

If a pair of subsets of two-dimensional Euclidean space nearly achieves equality in the Brunn-Minkowski inequality, in the sense that the measure of the associated sumset is nearly equal to the lower bound provided by the inequality, then these sets must nearly coincide with a pair of homothetic convex sets. The proof relies on a continuum analogue of a theorem of Freiman which characterizes finite sets of integers whose sumsets are of nearly minimal size. Small corrections and clarifications have been made in this draft.

fields

math.FA 1

years

2025 1

verdicts

CONDITIONAL 1

clear filters

representative citing papers

citing papers explorer

Showing 1 of 1 citing paper after filters.