GL(n) contravariant Minkowski valuations

Abstract

A complete classification of all continuous GL(n) contravariant Minkowski valuations is established. As an application we present a family of sharp isoperimetric inequalities for such valuations which generalize the classical Petty projection inequality.

Cited by in corpus (3)

• The dual Minkowski problem for negative indices
• Minkowski valuations on convex functions
• Affine invariant valuations on polytopes