On successive minima and intrinsic volumes

DOI10.1112/S0025579300013772zbMath0781.52009OpenAlexW2146526169MaRDI QIDQ3139951

Uwe Schnell, Jörg M. Wills

Publication date: 4 January 1994

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300013772

zbMATH Keywords

convex bodysuccessive minimaintrinsic volumesnormalized quermass-integrals

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (4)

Successive minima, intrinsic volumes, and lattice determinants ⋮ Covering sets for plane lattices ⋮ Lattice inequalities for convex bodies and arbitrary lattices ⋮ Variations of Minkowski's theorem on successive minima

Cites Work

• Inequalities between intrinsic volumes
• Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
• Two isoperimetric inequalities with lattice constraints
• An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
• Inequalities between successive minima and intrinsic volumes of a convex body
• Minimal Determinants and Lattice Inequalities
• Non-linear angle-sum relations for polyhedral cones and polytopes

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