STABILITY RESULTS FOR SECTIONS OF CONVEX BODIES

被引：2

作者：

Stephen, M. ^{[1
]}

Yaskin, V. ^{[1
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Cross-section body; intersection body; stability; MAXIMAL SECTIONS;

D O I：

10.1090/tran/6854

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown by Makai, Martini, and Odor that a convex body K, all of whose maximal sections pass through the origin, must be origin-symmetric. We prove a stability version of this result. We also discuss a theorem of Koldob-sky and Shane about determination of convex bodies by fractional derivatives of the parallel section function and establish the corresponding stability result.

引用

页码：6239 / 6261

页数：23

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