Hyperplane Sections of Cylinders

Abstract

We provide a formula to compute the volume of the intersection of a generalized cylinder with a hyperplane. Then we prove an integral inequality involving Bessel functions similar to Keith Ball's well-known inequality. Using this inequality we obtain upper bounds for the section volume. For large radius of the cylinder we determine the maximal section.

Cited by in corpus (2)

• Transport-majorization to analytic and geometric inequalities
• Haagerup's phase transition at polydisc slicing