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arXiv · 1309.1431

A characterization of Blaschke addition

Richard J. Gardner·Lukas Parapatits·Franz E. Schuster
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Abstract

A characterization of Blaschke addition as a map between origin-symmetric convex bodies is established. This results from a new characterization of Minkowski addition as a map between origin-symmetric zonoids, combined with the use of Lévy-Prokhorov metrics. A full set of examples is provided that show the results are in a sense the best possible.

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Richard J. Gardner, Lukas Parapatits, Franz E. Schuster. 2015-07-03. A characterization of Blaschke addition. https://doi.org/10.1016/j.aim.2013.11.017

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