The sum of two plane convex $C^\infty$ sets is not always $C^5$.

DOI10.7146/math.scand.a-12305zbMath0739.52003OpenAlexW2531870837MaRDI QIDQ3981372

Jan Boman

Publication date: 26 June 1992

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167106

zbMATH Keywords

sum of convex bodiesdifferentiability properties of convex bodies

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity of real functions of several variables, generalizations (26B25)

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