Hyperplane Sections of Cylinders
Metric Geometry
2017-05-15 v1
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.
Keywords
Cite
@article{arxiv.1602.07854,
title = {Hyperplane Sections of Cylinders},
author = {Hauke Dirksen},
journal= {arXiv preprint arXiv:1602.07854},
year = {2017}
}