Preprint
Aug 2026
Volume and Projection Inequalities II: Determinants and $L_p$-Sums
We study inequalities for the volume of orthogonal projections and their relation to Firey $L_p$-sum, together with their determinant-power analogues, motivated by the Dembo--Cover--Thomas conjecture. For $L_p$-zonoids $K,L\subset\mathbb{R}^n$ and $u\in S^{n-1}$, we consider the inequality \[ \left( \frac{|K\oplus_p L|...
M. Fradelizi, Auttawich Manui, C. Ndiaye et al.
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