On dual curvature measures

Huang, Lutwak, Yang & Zhang introduced in 2016 the so called dual curvature measures of convex bodies which may be regarded as the counterparts to the classical area measures within the dual Brunn-Minkowski theory. The problem to characterize these geometric measures among the finite Borel measures on the sphere is known as the dual Minkowski problem. In the talk we will present some subspace concentration conditions for these measures.

(Based on joint works wit Karoly Böröczky Jr. and Hannes Pollehn)