A generalization of Grünbaum's inequality in RCD$(0,N)$-spaces

Victor-Emmanuel Brunel, Shin-ichi Ohta, Jordan Serres

We generalize Grünbaum's classical inequality in convex geometry to curved spaces with nonnegative Ricci curvature, precisely, to $\mathrm{RCD}(0,N)$-spaces with $N\in (1,\infty )$…