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In the exercises to Chapter 7 the following notions are mainly discussed: mixed surface area measures and mixed bodies, their relations to quermassintegrals and projection bodies, a characterization of centrally symmetric polytopes, the Gauss map and also Minkowski symmetrization, the important concept of Blaschke addition (including also the Kneser-Süss inequality), and the notion of affine surface area.

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Mixed Surface Area Measures

  • 章节

  • 发表日期：

    2025年

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  • Vitor Balestro,
  • Horst Martini,
  • Ralph Teixeira

摘要

In the exercises to Chapter 7 the following notions are mainly discussed: mixed surface area measures and mixed bodies, their relations to quermassintegrals and projection bodies, a characterization of centrally symmetric polytopes, the Gauss map and also Minkowski symmetrization, the important concept of Blaschke addition (including also the Kneser-Süss inequality), and the notion of affine surface area.