Log-Concavity Properties of Minkowski Valuations

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Berg, Astrid; Parapatits, Lukas; Schuster, Franz E.; Weberndorfer, Manuel;
  • Subject: 52A38, 52B45 | Mathematics - Functional Analysis | Mathematics - Metric Geometry | Mathematics - Differential Geometry
    arxiv: Mathematics::Metric Geometry

New Orlicz Brunn-Minkowski inequalities are established for rigid motion compatible Minkowski valuations of arbitrary degree. These extend classical log-concavity properties of intrinsic volumes and generalize seminal results of Lutwak and others. Two different approach... View more
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