title: The Steiner formula for Minkowski valuations.
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.
authors.affiliation: University of Salzburg, Hellbrunner Strasse 34, 5020 Salzburg, Austria.
authors.forename: Lukas
authors.initials: L
authors.lastname: Parapatits
authors.forename: Franz E
authors.initials: FE
authors.lastname: Schuster
keywords: Brunn–Minkowski inequality; Steiner formula; Valuation