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arXiv · 2104.04397

Integral Geometry of pairs of planes

Julià Cufí·Eduardo Gallego·Agustí Reventós
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Abstract

We deal with integrals of invariant measures of pairs of planes in euclidean space $\mathbb{E}^3$ as considered by Hug and Schneider. In this paper we express some of these integrals in terms of functions of the visual angle of a convex set. As a consequence of our results we evaluate the deficit in a Crofton-type inequality due to Blashcke.

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Julià Cufí, Eduardo Gallego, Agustí Reventós. 2021-04-09. Integral Geometry of pairs of planes. https://arxiv.org/abs/2104.04397

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