arxiv: 1207.7256 · v1 · pith:5BTKRSB2new · submitted 2012-07-31 · 🧮 math.MG · math.DG· math.FA

GL(n) contravariant Minkowski valuations

Franz E. Schuster , Thomas Wannerer This is my paper

classification 🧮 math.MG math.DGmath.FA

keywords valuationscontravariantminkowskiapplicationclassicalclassificationcompletecontinuous

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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.

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GL(n) contravariant Minkowski valuations

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