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math.MG2015
Reflections of planar convex bodies
Rolf Schneider
It is proved that every convex body in the plane has a point such that the union of the body and its image under reflection in the point is convex. If the body is not centrally sym…
math.MG2015★ 3 cited
Hölder continuity for support measures of convex bodies
Daniel Hug, Rolf Schneider
The support measures of a convex body are a common generalization of the curvature measures and the area measures. With respect to the Hausdorff metric on the space of convex bodie…