Notions and topics treated in the exercises of Chapter 6 of the main book and here are: mixed volumes, quermassintegrals, and (as normalization of them) intrinsic volumes, the width function, mean width, and bodies of constant width, related inequalities combined with in- and circumradius, the Wills functional, and the famous characterization theorem of Hadwiger.

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Mixed Volumes

  • Vitor Balestro,
  • Horst Martini,
  • Ralph Teixeira

摘要

Notions and topics treated in the exercises of Chapter 6 of the main book and here are: mixed volumes, quermassintegrals, and (as normalization of them) intrinsic volumes, the width function, mean width, and bodies of constant width, related inequalities combined with in- and circumradius, the Wills functional, and the famous characterization theorem of Hadwiger.