A characterization of Blaschke addition
Metric Geometry
2015-07-06 v3
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 L\'{e}vy-Prokhorov metrics. A full set of examples is provided that show the results are in a sense the best possible.
Keywords
Cite
@article{arxiv.1309.1431,
title = {A characterization of Blaschke addition},
author = {Richard J. Gardner and Lukas Parapatits and Franz E. Schuster},
journal= {arXiv preprint arXiv:1309.1431},
year = {2015}
}