# Antinorms and Radon curves

@article{Martini2006AntinormsAR, title={Antinorms and Radon curves}, author={Horst Martini and Konrad J. Swanepoel}, journal={aequationes mathematicae}, year={2006}, volume={72}, pages={110-138} }

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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