Disks with Special Properties of Densest Packings.
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.
Flache Einbettungen geschlossener Mannigfaltigkeiten der Kodimension l in Randkomplexe konvexer Polytope.
Harmonic sum and duality.
Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths.
Illumination bodies and affine surface area
We show that the affine surface area as(∂K) of a convex body K in can be computed as where is a constant and is the illumination body.
Illumination of direct sums of two convex figures.
Inequalities for dual affine quermassintegrals.
Inner Illumination of Convex Polytopes
Invariant illumination of convex bodies. (Invariante Beleuchtung konvexer Körper.)
j-partitions for visible shorelines.
Minkowski sum of semi-convex domains in ℝ² [Book]
Minkowski valuations intertwining the special linear group
All continuous Minkowski valuations which are compatible with the special linear group are completely classified. One consequence of these classifications is a new characterization of the projection body operator.
Mixture Sets and Convex Sets
Non-compact lamination convex hulls
Numerical ranges of an operator on an indefinite inner product space.
On a Class of Nonconvex Problems Where all Local Minima are Global