Lattice Packing and Covering of Convex Bodies

被引：4

作者：

Gruber, Peter M. ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Diskrete Math & Geometrie, A-1040 Vienna, Austria

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2011年 / 275卷 / 01期

关键词：

QUADRATIC-FORMS; CONTINUOUS PARAMETERS; DENSEST LATTICE; CLASSIFICATION; GEOMETRY; VORONOI; JOHN;

D O I：

10.1134/S0081543811080165

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is twofold. First, to indicate briefly major problems and developments dealing with lattice packings and coverings of balls and convex bodies. Second, to survey more recent results on uniqueness of lattice packings and coverings of extreme density, on characterization of local minima and maxima of the density and on estimates of the kissing number. Emphasis is on results in general dimensions.

引用

页码：229 / 238

页数：10

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