This is an announcement for the paper "The Steiner formula for Minkowski faluations" by Lukas Parapatits and Franz E. Schuster.

Abstract: A Steiner type formula for continuous translation invariant Minkowski valuations is established. In combination with a recent result on the symmetry of rigid motion invariant homogeneous bivaluations, this new Steiner type formula is used to obtain a family of Brunn-Minkowski type inequalities for rigid motion intertwining Minkowski valuations.

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

Mathematics Subject Classification: 52B45, 52A40

Citation: Adv. in Math. 230 (2012), 978-994

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/1207.7276

or

http://arXiv.org/abs/1207.7276