Integral Geometry of pairs of planes
arXiv:2104.04397
Abstract
We deal with integrals of invariant measures of pairs of planes in euclidean space 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.
16 pages