Existenzsätze für Lagerungen im Euklidischen Raum

DOI10.1007/BF01111546zbMath0123.39104MaRDI QIDQ2627083

Helmut Groemer

Publication date: 1963

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170152

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (20)

On linear sections of lattice packings ⋮ Some basic properties of packing and covering constants ⋮ Sausages are good packings ⋮ The local optimality of the double lattice packing ⋮ Highly saturated packings and reduced coverings ⋮ Sphere packing bounds via spherical codes ⋮ Delsarte’s extremal problem and packing on locally compact Abelian groups ⋮ A quantitative stability result for the sphere packing problem in dimensions 8 and 24 ⋮ A geometrical analogue of the phase transformation of crystals ⋮ Perfect, strongly eutactic lattices are periodic extreme ⋮ On a relationship between the Hausdorff measure and the density of the thinnest covering of \(\mathbb{R}^n\) ⋮ Inequalities between lattice packing and covering densities of centrally symmetric plane convex bodies ⋮ Packings, sausages and catastrophes ⋮ Über ebene Schnitte von Lagerungen ⋮ Über gewisse dichteste Anordnungen von Punkten in der Ebene ⋮ Existenzsätze für Lagerungen in metrischen Räumen ⋮ On the density of the thinnest covering of \(\mathbb{R}^n\) ⋮ Extremal convex sets ⋮ Notions of denseness ⋮ On a Covering Property of Convex Sets

Cites Work

• Unnamed Item
• Zur Lagerung kongruenter Körper im Raum
• On the closets packing of spheres in \(n\) dimensions
• Ausfüllung und Überdeckung konvexer Körper durch konvexe Körper
• Unterdeckung und Überdeckung der Ebene durch Kreise Dem Andenken an Professor H. L. Schmid gewidmet

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