2 papers
math.MG2026
On Ball's conjectured Santaló type inequality
Károly J. Böröczky, Konstantinos Patsalos, Christos Saroglou
We prove that if is a symmetric and isotropic convex body in , then $$\int_K\langle x,u\rangle^2\,dx\int_{K^\circ}\langle x,u\rangle^2\,dx\leq \left(\int_{B_2^n}\…
math.MG2026
A note on the -Brunn-Minkowski inequality for intrinsic volumes and the -Christoffel-Minkowski problem
Konstantinos Patsalos, Christos Saroglou
The first goal of this paper is to improve some of the results in \cite{BCPR}. Namely, we establish the -Brunn-Minkwoski inequality for intrinsic volumes for origin-symmetric…