2 papers
math.MG2019
Lutwak-Petty projection inequalities for Minkowski valuations and their duals
Astrid Berg, Franz E. Schuster
Lutwak's volume inequalities for polar projection bodies of all orders are generalized to polarizations of Minkowski valuations generated by even, zonal measures on the Euclidean u…
math.MG2014
Log-Concavity Properties of Minkowski Valuations
Astrid Berg, Lukas Parapatits, Franz E. Schuster +1
New Orlicz Brunn-Minkowski inequalities are established for rigid motion compatible Minkowski valuations of arbitrary degree. These extend classical log-concavity properties of int…