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arXiv · 1602.07854

Hyperplane Sections of Cylinders

Hauke Dirksen
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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.

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Hauke Dirksen. 2016-02-25. Hyperplane Sections of Cylinders. https://doi.org/10.4064/cm6909-5-2016

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