All Title Author
Keywords Abstract

Mathematics  2014 

Log-Concavity Properties of Minkowski Valuations

Full-Text   Cite this paper   Add to My Lib

Abstract:

New Orlicz Brunn-Minkowski inequalities are established for rigid motion compatible Minkowski valuations of arbitrary degree. These extend classical log-concavity properties of intrinsic volumes and generalize seminal results of Lutwak and others. Two different approaches which refine previously employed techniques are explored. It is shown that both lead to the same class of Minkowski valuations for which these inequalities hold. An appendix by Semyon Alesker contains the proof of a new classification of generalized translation invariant valuations.

Full-Text

comments powered by Disqus