Two isoperimetric inequalities with lattice constraints

DOI10.1007/BF01297342zbMath0737.52008OpenAlexW2026977154MaRDI QIDQ1180716

Jörg M. Wills, Uwe Schnell

Publication date: 27 June 1992

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178541

zbMATH Keywords

lattice pointsisoperimetric inequalities

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (8)

Successive minima, intrinsic volumes, and lattice determinants ⋮ Covering sets for plane lattices ⋮ Area-diameter and area-width relations for covering plane sets ⋮ Hyperplane sections of convex bodies ⋮ A discrete isoperimetric inequality on lattices ⋮ A Blichfeldt-type inequality for the surface area ⋮ Lattice inequalities for convex bodies and arbitrary lattices ⋮ On successive minima and intrinsic volumes

Cites Work

• Unnamed Item
• Bounds for the lattice point enumerator
• Kugellagerungen und Konvexgeometrie. (Sphere packings and convex geometry)
• An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
• Gitterperiodische Punktmengen und Isoperimetrie

This page was built for publication: Two isoperimetric inequalities with lattice constraints