Parallelbeleuchtung konvexer Körper mit glatten Rändern
Partitioning Euclidean Space.
Permanence of moment estimates for p-products of convex bodies
It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ℝⁿ are permanent under forming p-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the Γ-function.
Perturbations and approximations of support functions of convex bodies.
Piecewise polynomial functions, convex polytopes and enumerative geometry
Points extrémaux d'un convexe compact de Rn appartenant à un réseau
Points of infinitely many normals to convex surfaces.
Polarity of embedded and circumscribed ellipsoids.
Polyhedra inscribed and circumscribed to convex bodies.
Polyhedral approximation of convex sets with an application to large deviation probability theory.
Preassigning the Boundary of Diametrically-Complete Sets.
Presssigning the Shape for Bodies of Constant Width.
Projecting the surface measure of the sphere of
Properties of distance functions on convex surfaces and applications
If is a convex surface in a Euclidean space, then the squared intrinsic distance function is DC (d.c., delta-convex) on in the only natural extrinsic sense. An analogous result holds for the squared distance function from a closed set . Applications concerning -boundaries (distance spheres) and ambiguous loci (exoskeletons) of closed subsets of a convex surface are given.