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math.MG2013★ 28 cited
A characterization of Blaschke addition
Richard J. Gardner, Lukas Parapatits, Franz E. Schuster
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 betw…
math.MG2013★ 1 cited
The Centro-Affine Hadwiger Theorem
Christoph Haberl, Lukas Parapatits
All upper semicontinuous and SL(n) invariant valuations on convex bodies containing the origin in their interiors are completely classified. Each such valuation is shown to be a li…