$\mathrm{GL}(n)$ contravariant Minkowski valuations

By Franz E. Schuster, Thomas Wannerer. 2012

89 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3f043fe74e14d25f158c2400278c4b2487ea094f