2013/09/30 by Richard J. Gardner, Lukas Parapatits, Franz E. Schuster
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Characterization (materials science) #Combinatorics #Computer science #Convex optimization #Convex set #Geometric Analysis and Curvature Flows #Geometry #Mathematics #Minkowski space #Point processes and geometric inequalities #Pure mathematics #Regular polygon #Set (abstract data type) #math.MG #msc:52A20 #msc:52A30 #msc:52A39 #msc:52A41
paper · pdf · doi:10.1016/j.aim.2013.11.017
published as Advances in Mathematics 254 (2014), 396-418
openalex publication_date 2014/01/14 · arxiv created 2015/07/03 · arxiv updated 2015/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.