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GL(n) contravariant Minkowski valuations (1207.7256v1)
Published 31 Jul 2012 in math.MG, math.DG, and math.FA
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.