Measure Extensions by Conditional Atoms.
Mehrfache gitterförmige Kreis- und Kugelanordnungen.
Minimal spherical shells and linear semi-infinite optimization.
Minimum Area of Circumscribed Polygons.
Minkowski's Successive Minima and the Zeros of a Convexity-Function.
More on k-Sets of Finite Sets in the Plane.
Multiobjective problems of convex geometry.
Náměty k středoškolské geometrii (Geometrické nerovnosti)
Neuere Studien über Gitterpolygone.
New lower bounds for Heilbronn numbers.
New volume ratio properties for convex sym-metric bodies in IRn.
Note on Packing of 19 Equal Circles on a Sphere.
On a Brunn-Minkowski theorem for a geometric domain functional considered by Avhadiev.
On a Differential Inequality and Its Applications to Geometry.
On a discrete Dido-type question.
On a geometric inequality by J. Sándor.
On a problem by Shapiro.
On a question of Milman and Alesker concerning the monotonicity of a domain functional.
On area and side lengths of triangles in normed planes
Let be a d-dimensional normed space with norm ||·|| and let B be the unit ball in . Let us fix a Lebesgue measure in with . This measure will play the role of the volume in . We consider an arbitrary simplex T in with prescribed edge lengths. For the case d = 2, sharp upper and lower bounds of are determined. For d ≥ 3 it is noticed that the tight lower bound of is zero.
On billiard arcs