Antinorms and Radon curves

  title={Antinorms and Radon curves},
  author={Horst Martini and Konrad J. Swanepoel},
  journal={aequationes mathematicae},
Summary.A Radon curve can be used as the unit circle of a norm, with the corresponding normed plane called a Radon plane. An antinorm is a special case of the Minkowski content of a measurable set in a Minkowski space. There is a long list of known results in Euclidean geometry that also hold for Radon planes. These results may sometimes be further generalized to arbitrary normed planes if we formally change such a statement by referring in some places to the antinorm instead of the norm. We… 
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