Necessary subspace concentration conditions for the even dual Minkowski problem

Abstract

We prove tight subspace concentration inequalities for the dual curvature measures ${\tilde{\mathrm{C}}}_q(K,\cdot )$ of an $n$-dimensional origin-symmetric convex body for $q\ge n+1$. This supplements former results obtained in the range $q\le n$.

24 pages. arXiv admin note: substantial text overlap with arXiv:1604.07390