Hyperplane Sections of Cylinders

Published 25 Feb 2016 in math.MG | (1602.07854v1)

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

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