Proof of Laszl Fejes Tth's zone conjecture

被引：12

作者：

Jiang, Zilin ^{[1
]}

Polyanskii, Alexandr ^{[2
,3
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] RAS, Moscow Inst Phys & Technol, Moscow, Russia

[3] RAS, Inst Informat Transmiss Problems, Moscow, Russia

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2017年 / 27卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

PLANK PROBLEM; BODIES;

D O I：

10.1007/s00039-017-0427-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A zone of width omega on the unit sphere is the set of points within spherical distance omega/2 of a given great circle. We show that the total width of any collection of zones covering the unit sphere is at least pi, answering a question of Fejes Tth from 1973.

引用

页码：1367 / 1377

页数：11

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