This is an announcement for the paper "Crofton measures and Minkowski valuations" by Franz E. Schuster.

Abstract: A description of continuous rigid motion compatible Minkowski valuations is established. As an application, we present a Brunn-Minkowski type inequality for intrinsic volumes of these valuations.

Archive classification: math.MG math.DG math.FA

Mathematics Subject Classification: 52B45, 43A90, 52A40

Citation: Duke Math. J. 154 (2010), 1–30

Submitted from: franz.schuster@tuwien.ac.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1207.7254

or

http://arXiv.org/abs/1207.7254