Minkowski's successive minima and the zeros of a convexity-function

DOI10.1007/BF01302936zbMath0712.52016MaRDI QIDQ748898

D. Kharzeev

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/178467

zbMATH Keywords

inequalitiesMinkowski's successive minimanormalized quermassintegrals

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 (number-theoretic aspects) (11H06) Classical groups (algebro-geometric aspects) (14L35)

Related Items (7)

On the roots of the Steiner polynomial of a 3-dimensional convex body ⋮ Successive minima, intrinsic volumes, and lattice determinants ⋮ Inequalities between successive minima and intrinsic volumes of a convex body ⋮ Further inequalities for the (generalized) Wills functional ⋮ The Wills conjecture ⋮ Notes on the roots of Steiner polynomials ⋮ Ehrhart Polynomials and Successive Minima

Cites Work

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• Inequalities between intrinsic volumes
• An application of valuation theory to two problems in discrete geometry
• Covering minima and lattice-point-free convex bodies
• Das Wills'sche Funktional
• An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
• Zur Gitterpunktanzahl konvexer Mengen
• Bonnesen-Style Inequalities for Minkowski Relative Geometry
• Non-linear angle-sum relations for polyhedral cones and polytopes

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