On subspace concentration for dual curvature measures

Abstract

We study subspace concentration of dual curvature measures of convex bodies K satisfying γ(−K) ⊆ K for some γ ∈ (0, 1]. We present upper bounds on the subspace concentration depending on γ, which, in particular, retrieves the known results in the symmetric setting. The proof is based on a unified approach to prove necessary subspace concentration conditions via the divergence theorem.