Inequalities for Mixed Intersection Bodies

The Dual Brunn-Minkowski Inequalities for Intersection Bodies and Two Additions

“…Intersection bodies were first explicitly defined and named by Lutwak in the important paper [10], and played a key role in the ultimate solution of Busemann-Petty problem [2,[4][5][6][7]12]. The duality between intersection bodies and projection bodies was first made clear in [4,10], and the notion of mixed intersection bodies has been raised in [8,11]. The idea of an intersection body is a relatively new one, and rather less is known about them than about projection bodies.…”