The logarithmic Minkowski inequality for cylinders

Jiangyan Tao, Ge Xiong, Jiawei Xiong

In this paper, we prove that if $K$ is an $o$-symmetric cylinder and $L$ is an $o$-symmetric convex body in ${\mathbb{R}}^3$, then the logarithmic Minkowski inequality \[\frac{1}{V(K)…