Sections of Convex Bodies in John’s and Minimal Surface Area Position
Sections of Convex Bodies in John’s and Minimal Surface Area Position
Abstract We prove several estimates for the volume, the 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 …