Section and projection means of convex bodies
- Cite this article as:
- Goodey, P., Kiderlen, M. & Weil, W. Monatshefte für Mathematik (1998) 126: 37. doi:10.1007/BF01312454
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This paper is concerned with various geometric averages of sections or projections of convex bodies. In particular, we consider Minkowski and Blaschke sums of sections as well as Minkowski sums of projections. The main result is a Crofton-type formula for Blaschke sums of sections. This is used to establish connections between the different averages mentioned above. As a consequence, we obtain results which show that, in some circumstances, a convex body is determined by the averages of its sections or projections.