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

  • Schuster F
  • Wannerer T
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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. © 2011 American Mathematical Society.

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Schuster, F. E., & Wannerer, T. (2012). $\mathrm{GL}(n)$ contravariant Minkowski valuations. Transactions of the American Mathematical Society, 364(2), 815–826. https://doi.org/10.1090/s0002-9947-2011-05364-x

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