# Necessary subspace concentration conditions for the even dual Minkowski problem

## TL;DR

This paper establishes precise subspace concentration inequalities for dual curvature measures of symmetric convex bodies in high dimensions, extending previous results to a broader range of the parameter q.

## Contribution

It provides tight subspace concentration inequalities for dual curvature measures for q ≥ n+1, expanding the known range from q ≤ n.

## Key findings

- Established tight inequalities for dual curvature measures in higher q-range.
- Extended previous subspace concentration results to q ≥ n.
- Enhanced understanding of the geometric properties of convex bodies.

## Abstract

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