论文标题
约翰和最小表面积位置的凸体部分
Sections of convex bodies in John's and minimal surface area position
论文作者
论文摘要
我们证明了凸体位置及其极物体的体积，平均宽度和遗嘱功能的遗嘱功能的几个估计值。这些估计值将John位置的凸体的一些众所周知的结果扩展到了较低维区的情况，这主要是针对立方体和常规单纯形的。还获得了最小表面积位置中集中对称凸体的一些估计值。
We prove several estimates for the volume, mean width, and the value of the Wills functional of sections of convex bodies in John's position, as well as for their polar bodies. These estimates extend some well-known results for convex bodies in John's position to the case of lower-dimensional sections, which had mainly been studied for the cube and the regular simplex. Some estimates for centrally symmetric convex bodies in minimal surface area position are also obtained.
