A POSITIVE ANSWER TO THE BUSEMANN-PETTY PROBLEM IN 3 DIMENSIONS

• 成果类型: Article
• 署名作者: GARDNER, RJ
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2118606
• 发表日期: 1994
• 页码: 435-447
• 关键词: intersection bodies; convex

摘要

We prove that in E3 the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.