Eine Hierarchie einfacher Polygone
Espace de liberté d’un sous-ensemble convexe de
Étude des différences de corps convexes plans
We characterize the linear space ℋ of differences of support functions of convex bodies of 𝔼² and we consider every h ∈ ℋ as the support function of a generalized hedgehog (a rectifiable closed curve having exactly one oriented support line in each direction). The mixed area (for plane convex bodies identified with their support functions) has a symmetric bilinear extension to ℋ which can be interpreted as a mixed area for generalized hedgehogs. We study generalized hedgehogs and we extend the...
Extensions of an inequality of Bonnesen to D-dimensional space and curvature conditions for convex bodies.