Sections of Convex Bodies in John's and Minimal Surface Area Position

被引：2

作者：

Alonso-Gutierrez, David ^{[1
]}

Brazitikos, Silouanos ^{[2
]}

机构：

[1] Univ Zaragoza, Inst Univ Matemt & Aplicac, Fac Ciencias, Area Anal Matemat,Dept Matemat, Pedro Cerbuna 12, Zaragoza 50009, Spain

[2] Natl & Kapodistrian Univ Athens, Dept Math, Athens 15784, Greece

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 01期

关键词：

VOLUME; PROJECTIONS; INEQUALITIES; CONSTANTS; ZONOIDS;

D O I：

10.1093/imrn/rnab273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove several estimates for the volume, the mean width, and the value of the Wills functional of sections of convex bodies in John's position, as well as for their polar bodies. These estimates extend some well-known results for convex bodies in John's position to the case of lower-dimensional sections, which had mainly been studied for the cube and the regular simplex. Some estimates for centrally symmetric convex bodies in minimal surface area position are also obtained.

引用

页码：243 / 297

页数：55

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